Question

Joe"s Age Is three times Aaron's age and Aaron is six years older than Christina if the sum of their ages is 149 what is Christina's age Joe's age Aaron's age .

Answer 1

Joe's age is 93 years

Aaron's age is 31 years

Christina's age is 25 years

Explanation:

Let

x ---->Joe's age

y ----> Aaron's age

z----> Christina's age

we know that

Joe"s Age Is three times Aaron's age

`x=3y` ----> equation A

Aaron is six years older than Christina

`y=z+6`

isolate the variable z

`z=y-6` ----> equation B

The sum of their ages is 149

`x+y+z=149` ----> equation C

solve the system by substitution

substitute equation A and equation B in equation C

`(3y)+y+(y-6)=149`

solve for y

Combine like terms left side

`5y-6=149`

Adds 6 both sides

`5y=149+6`

`5y=155`

Divide by 5 both sides

`y=31`

Find the value of x

`x=3y` ---->
`x=3(31)=93`

Find the value of z

`z=y-6` ----
`z=31-6=25`

therefore

Joe's age is 93 years

Aaron's age is 31 years

Christina's age is 25 years