Question

Beth is four years older than two thirds the

age of Milo. If Beth is 14 years old, how old
is Milo? give me the equation too please

Answer 1

14 = (2/3) x m + 4

Answer 2

Milo is 15 years old when Beth is 14 years old

Explanation:

Let B represent the age of Beth

Let M represent the age of Milo

Given

Beth is four years older than two thirds the age of Milo is represented as:

`B = 4 + (2)/(3) M`

Required

How old is Milo if Beth is 14 years old.

Having derived the expression for Beth and Milo's age, the next thing to do us to substitute the given parameters.

In other words

Given
`B = 4 + (2)/(3) M`

What is M if B = 14.

Substitute 14 for B

So, we have

`B = 4 + (2)/(3) M` becomes

`14 = 4 + (2)/(3) M`

Collect like terms

`14 - 4 = (2)/(3) M`

`10 = (2)/(3) M`

Multiply both sides by
`(3)/(2)`

So, we have

`10 * (3)/(2) = (2)/(3) M * (3)/(2)`

`10 * (3)/(2) = M`

`(30)/(2) = M`

`M = 15`

Hence, Milo is 15 years old when Beth is 14 years old