Question

An older person is 5 years older than six times the age of a younger person. The sum of their ages is 26. Find their ages.

Answer 1

3 and 23

Explanation:

Answer 2

Let x be the age of the younger person.

The older person would be 6x +5 (5 years older than 6 times)

Now add to equal the sum:

x + 6x +5 = 26

Combine like terms:

7x +5 = 26

Subtract 5 from both sides:

7x = 21

Divide both sides by 7:

x = 3

Now you can subtract the age of the younger person from the total age:

26-3 = 23

The ages are 3 and 23