An older person is nine years older than eight times the age of a younger person there’s some of their ages is 45 find their ages

Answer 1

Hi Crystal,

Let's use the variable, x , to represent the age of the younger person.

Then we can write the following expression to represent the age of the older person (recall that "sum" indicates addition): 9 + 8x

Since we know the sum of their ages is 45, we can write and solve the following equation to find the age of the younger person first:

younger person's age + older person's age = 45

x + 9 + 8x = 45

Combine like terms and use inverse operations to determine x:

9x + 9 = 45

9x + 9 - 9 = 45 - 9

9x = 36

9x/9 = 36/9

x = 4

The younger person is 4 years old.

The older person will be 9 + 8x = 9 + 8 • 4 = 9 + 32 = 41

The older person is 41 years old.

Note that 41 + 4 = 45