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

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

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