Question

Steve is x years old. His sister, Diane, is 6 years older than Steve. Their grandmother is four times as old as Diane. Write and simplify an expression that represents their grandmothers age in years.

Answer 1

Grandmother's age is (4x+24)

Grandmother is 24 years older than four times Steve's age

Explanation:

Let

x ----> Steve's age

y ----> Diane's age

z ----> Grandmother's age

we know that

`y=x+6` -----> equation A

`z=4y` -----> equation B

Substitute equation A in equation B

`z=4(x+6)`

`z=4x+24`

therefore

Grandmother's age is (4x+24)

Grandmother is 24 years older than four times Steve's age