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?

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

If diana Age is D then

It can be re-wriiten as

Diana age

Given that  their ages add up to 167

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