Question

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

A. Antoine is about 6 years older than Katy

B. Antoine is about 6 years younger than katy.

C. Antoine is about 17 years older than Katy

D. Antoine is about 17 years younger than Katy

Answer 1

If Carmens age is x and Antoine is 5 1/4 years older than Carmen

then Antoine's age is x + 5 1/4

Katy is 11 1/2 years older than Carmen

hence, Katy's age is x + 11 1/2

its visible that Katy is older than Antoine since (x + 11 1/2 ) > (x + 5 1/4)

difference between Antoine's and Katy's age can be found out by subtracting Antoine's age from Katy's age

Difference = Katy's age - Antoine's age

= x + 11 1/2 - (x + 5 1/4)

= x + 11 1/2 - x - 5 1/4

= 6 (1/2 - 1/4)

= 6 1/4

6 1/4 rounded off to the nearest year is 6 years.

Therefore difference is 6 years.

Katy is 6 years older than Antoine