Tim is twice as old as Sarah. Rachel is 1/3 Tim's age. If Rachel is 18, how old are Tim and Sarah?

Answer 1

Hi Misa, let s represent Sarah's age, t represent Tim's age, and r represent Rachel's age.

Given Tim is twice as old as Sarah, and Rachel is 1 / 3 * Tim's age.

Tim's age based on Sarah's age:

t = 2 * s

Rachel's age based on Tim's age based on Sarah's age:

r = 1 / 3 * t = 1 / 3 * (2s)

Since Rachel's age is given as 18, we can solve r = 1 / 3 * (2s) to find Sarah's age.

1 / 3 * (2s) = 18

Multiply both sides by 3:

2s = 54

Divide both sides by 2:

s = 27

Sarah's age is 27

Tim's age is 2 * 27, or 54.

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