The sum of ava’s and grace’s age is 35. ava is one year less than three times grace’s age. how old is grace?

The age of Grace is 9 years old

Given that sum of Ava’s and Grace’s age is 35

Ava is one year less than three times Grace’s age

To find: Age of Grace

Let "a" be the age of Ava

Let "g" be the age of Grace

According to given information,

sum of Ava’s and Grace’s age = 35

Ava age + Grace age = 35

a + g = 35   eqn 1

Also given that Ava is one year less than three times Grace’s age

Age of Ava = three times Grace’s age - 1

a = 3g - 1 eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "g"

Substitute eqn 2 in eqn 1

3g - 1 + g = 35

4g - 1 = 35

4g = 36

Thus the age of Grace is 9 years old

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step-by-step explanation:

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