Question

John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age. How old is each person if their ages add up to 167?

Answer 1

Solution:

we are given that

John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.

Let the age of Jim be x years then we can say

Age of John$=x+3$

If diana Age is D then

$x=D/2-4$

It can be re-wriiten as

Diana age $D=2x+8$

Given that  their ages add up to 167

$x+x+3+2x+8=167\\ \\ 4x+11=167\\ \\ 4x=167-11\\ \\ 4x=156\\ \\ x=39$

Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.