Question

the sum of ava’s and grace’s ages is 35. Ava is one year less than three time Grace’s age. How old is Ava, x and Grace, y express your answer as an ordered pair

Answer 1

Ava is 26 and Grace age is 9

Explanation:

x=ava's age

y=grace's age

3y-1=x

x+y=35

Substitute 3y-1 to x+y=35 for the value of x to find grace age

3y-1+y=35

4y-1=35

+1 +1

4y=36

y=9 now substitute 9, the y value in 3y-1=x to find ava's age

3(9)-1=x

x=26

to verify; 26+9=35

true 35=35