Question

Cary is 88 years older than Dan. In 77 years the sum of their ages will...

Cary is 88 years older than Dan. In 77 years the sum of their ages will be 7676. Find the age of each man now.

Cody is twice as old as Evan and six years ago the sum of their age was 66. Find the age of each boy now

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a) Let the initial age of Cary be x and that of Dan be x + 88.

After 77 years, age of Cary = x + 77

Age of Dan = x + 88 + 77 = x + 166

Sum of their ages = x + 77 + x + 166 = 2x + 243

Given 2x + 243 = 7676

2x = 7433, x = 3716.5 years

Age of Cary = 3716.5 years

Age of Dan = 3804.5 years

b) Let age of Evan = x

Then age of Cody = 2x

Before 6 years, age of Evan = x - 6 , and age of Cody = 2x - 6

Sum of their ages = x - 6 + 2x - 6 = 3x - 12

Given the sum = 66.

3x - 12 = 66

3x = 78

x = 26

Age of Evan = x = 26 years

Age of Cody = 2x = 52 years

Please do rate thumbs up. :)

Comment your doubts if you have any. I will solve them :)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Introduce variables to represent items of interest in the problem. For example, (1) Let n be...
Introduce variables to represent items of interest in the problem. For example, (1) Let n be the number to be found, or (2) Let a be Alice’s current age, or (3) Let r be the rate of the first car. (2) Write down an equation using the information given in the problem. This is the really important part for this particular assignment! (3) Solve the equation and find the value requested in the problem. Al is 15 years older than...
Please show all steps in order and in legible writing. A woman is now 30 years...
Please show all steps in order and in legible writing. A woman is now 30 years older than her son. 15 years ago, she was twice as old. What are the present ages of the woman and her son? Let x = age of the woman now Let y = age of the son now 1) Set up equation 1 which containes x and y 2) Set up equation 2 which containes x and y 3) Solve for x and...
Randomly selected 2020 student cars (population 1) have ages with a mean of 77 years and...
Randomly selected 2020 student cars (population 1) have ages with a mean of 77 years and a standard deviation of 3.63.6 years, while randomly selected 2222 faculty cars (population 2) have ages with a mean of 55 years and a standard deviation of 3.73.7 years. (For the purposes of this exercise, the two populations are assumed to be normally distributed.) 1.    Use a 0.030.03 significance level to test the claim that student cars are older than faculty cars. The test statistic...
The mean triglyceride level for U.S. adults (ages 20 and older) is 97 milligrams per deciliter....
The mean triglyceride level for U.S. adults (ages 20 and older) is 97 milligrams per deciliter. Assume the triglyceride levels of U.S. adults who are at least 20 years old are normally distributed, with a standard deviation of 25 milligrams per deciliter. You randomly select a U.S. adult who is at least 20 years old. What is the probability that the person triglyceride level is less than 100? (Levels under 150 milligrams per deciliter are considered normal). In a randomly...
The National Sporting Goods Association conducted a survey of persons 7 years of age or older...
The National Sporting Goods Association conducted a survey of persons 7 years of age or older about participation in sports activities (Statistical Abstract of the United States: 2002). The total population in this age group was reported at 248.5 million, with 120.9 million male and 127.6 million female. The number of participants for the top five sports activities appears here. Participants (millions)             Activity                                     Male                                     Female             Bicycle riding                                     20.7                                     19.5             Camping                                     27.1                                     22.8             Exercise walking                                     27.2                                     56.2             Exercising with equipment                                           18.9                                    ...
Calculate the number of exemptions that could be claimed and the standard deduction that the taxpayer...
Calculate the number of exemptions that could be claimed and the standard deduction that the taxpayer is entitled to take in 2019 in each of the following independent cases; John, age 66, and his wife, age 64, file a joint return. Jack, age 62 and blind, and his wife, who became 65 in January 1 of the following year, file a joint return Jim and Mary, both 52, contribute more than half the support for Jim’s father, who lives with...
1. For the next 6 years, you pan to make equal quarterly deposits of $600.00 into...
1. For the next 6 years, you pan to make equal quarterly deposits of $600.00 into an account paying 8% compounded quarterly. How much will be the total you have at the end of the time? 2. How much money will you have to deposit now if you wish to have $5,000 at the end of 8 years. Interest is to be at the rate of 6% compounded semiannually? 3. In the California “Million Dollar Lottery” a winner is paid...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired and 80% were pre-retired, the following question was asked: Do you expect your income needs to vary from year to year in retirement? Of those who were retired, 23% answered no, and 77% answered yes. Of those who were pre-retired, 28% answered no, and 72% answered yes. If a respondent in the survey was selected at random and had answered yes to the question,...
Mabel is a white, 63 year-old vice-president of a major bank in New York City. Although...
Mabel is a white, 63 year-old vice-president of a major bank in New York City. Although married for 35 years to the same man, she does not have any children and has never had any pregnancies. Mabel has recently gained weight and is now about 25 lbs. overweight for her 5’4” height. With her busy career, she has a hard time fitting in exercise, other than a bit of walking, and her diet is a typical “western” diet which includes...
ATHI AND DARRIN LOVETTE CASE: Kathi and Darrin Lovette Background Kathi and Darrin Lovette, both age...
ATHI AND DARRIN LOVETTE CASE: Kathi and Darrin Lovette Background Kathi and Darrin Lovette, both age 63, have been married for 40 years, are both in good health, and they are citizens and residents of Louisiana. They expect to work until age 66 to 70. Kathi and Darrin live in a community property state. They have the following children and grandchildren: Children Age Grandchildren Elizabeth Age 40 4 children (ages 15, 14, 13 & 12) James Age 35 3 children...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT