Problema Solution

Nick is 30 years less than 3 times Ray's age. If the sum of their ages is 74, how old are both of the men?

Answer provided by our tutors

Let

n = Nick's age

r = Ray's age

Nick is 30 years less than 3 times Ray's age:

n = 3r - 30

The the sum of their ages is 74:

n + r = 74

We have the following system of equations:

n = 3r - 30

n + r = 74

........

click here to see the system of equations solution for n and r

........

n = 48 years

r = 26 years

Nick is 48 years old.

Ray is 26 years old.