Question

Please derive a formula to find all numbers that meet the following two conditions: provide full explanation how that formula satifisted below condition

• Divide by 3 the remainder is 1

• Divide by 29 the remainder is

2nd condition is

divide by 29 the remainder is 6

Answer 1

Answer :

Given that :

To find the formula for the given conditions for all values :

a)Given condition is :

Divide by 3 and remainder is 1

i.e when we divide a number by 3 then the remainder should be 1

Formula : 3n + 1

Now substitute n =1

then (3 * 1) + 1 = 3 + 1 = 4

so, 4 will be divided by 3 and we get remainder 1

b)Given condition is :

Divide by 29 and remainder is 6

i.e when a number id divided by 29 we should get the remainder as 6

Formula : 29n + 6

Substitute n = 1

then (29 * 1) + 6 = 29 + 6 = 35

so, 35 will be divided by 29 and we get remainder 6.