Question

Carmen is 5 1 ··4 years younger than Antoine. Katy is 11 1 ··2 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age?

Answer 1

Let, age of Carmen, Antoine and Katy is C, A and K.

And it is given that :

`A - C = 5(1)/(4)` …1)

`K-C = 11 (1)/(2)` ...2)

We need to find the difference in Antoine's age and Katy's age.

Subtracting equation 2) from 1), we get :

`( A - C ) - ( K-C) =5(1)/(4) - 11(1)/(2)\\\\A - K = -6(1)/(4)\\\\K-A = 6(1)/(4)`

Therefore, Katy is
`6(1)/(4)` years older than Antoine.