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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.

Respuesta :

calculista

Answer:

Grandmother's age is (4x+24)

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

Step-by-step explanation:

Let

x ----> Steve's age

y ----> Diane's age

z ----> Grandmother's age

we know that

[tex]y=x+6[/tex] -----> equation A

[tex]z=4y[/tex] -----> equation B

Substitute equation A in equation B

[tex]z=4(x+6)[/tex]

[tex]z=4x+24[/tex]

therefore

Grandmother's age is (4x+24)

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