Age math question

Question

An older person is five years older than four times the age of a younger person the sum of their ages is 25. What are the two ages

Answer 1

Here's what we know:

d = 4y + 5 (the older persons age is 5 more years than 4 times the younger's)

d + y = 25

We have a value for d, so we can use substitution for this problem:

4y + 5 + y = 25

5y + 5 = 25

Subtract 5:

5y = 20

Divide by 5:

y = 4

You can then find the older person's age by just solving the following on your own:

d = 4 * 4 + 5