Question

Two siblings ' ages have a sum of 64 years . The older sibling was born 6 years before their young sibling . Write a system of 2 equations . Solve the system using substitution . Report your answer in the form of ( older , younger ).

Answer 1

younger sibling = 29 years

older sibling = 35 years

Explanation:

Let

x = younger sibling

y = older sibling

x + y = 64 (1)

The older sibling was born 6 years before their young sibling

x = y - 6 (2)

Substitute x = y - 6 into (1)

x + y = 64

y - 6 + y = 64

2y = 64 + 6

2y = 70

y = 70/2

y = 35 years

Substitute y = 35 into (2)

x = y - 6

x = 35 - 6

x = 29 years