Question

Sam is 34 years younger than Ashton. 4 years ago, Ashton's age was 3 times Sam's age. How old is Sam now?

Answer 1

21years old

Explanation:

Let Sam's age be x

Let Ashton present age be y

If Sam is 34 years younger than Ashton then;

x = y - 34 .... 1

If by 4 years ago, Ashton's age was 3 times Sam's age then;

Sam = x - 4

Ashton = y - 4

y-4 = 3(x-4)

y-4 = 3x - 12 ....2

Substitute 1 into 2;

y-4 = 3(y-34)-12

y-4 = 3y-102-12

y-4 = 3y - 114

y-3y = -114 + 4

-2y = -110

y = 110/2

y = 55

Since x = y- 34

x = 55-34

x = 21

Hence Sam will be 21years old now