Question

The sum of the ages of Devin and Maggie is 96 years. 8 years ago, Devin's age was 4 times Maggie's age. How

old is Devin now?

Answer 1

72years old

Explanation:

Let Devin's age be x

Let Maggie present age be y

If the sum of the ages of Devin and Maggie is 96 years, then;

x+y = 96 .... 1

If by 8 years ago, Devin's age was 4 times Maggie's age, then;

Devin = x - 8

Maggie = y - 8

x-8 = 4(y-8)

x-8 = 4y - 32 ...2

From 1;

x = 96 - y..3

Substitute 3 into 2

96-y - 8 = 4y - 32

-y-4y = -32 - 88

-5y = -120y

y = 120/5

y = 24

Since x = 96-y

x = 96 - 24

x = 72years

Hence Devin will be 72years old now