Marlowe is half as old as jean. Eight years from now he will be 3/4 as old as jean. How old is eash now?

Jonah Jacobson

Jonah Jacobson

Answered question

2022-09-05

Marlowe is half as old as jean. Eight years from now he will be 3/4 as old as jean. How old is eash now?

Answer & Explanation

illpnthr21vw

illpnthr21vw

Beginner2022-09-06Added 17 answers

Marlowe's age = M
Jean's age = J
M = .5J
M+8=.75(J+8)=.75J + 6
Substitute .5J for M in the second equation and solve:
.5J+8=.75J+6
2=.25J
J=8
M=4
Check your answers.
Marlowe is half as old as jean (8/4 =2)
In 8 Years, Marlowe will be 3/4 as old as Jean (12/16=3/4)
excefebraxp

excefebraxp

Beginner2022-09-07Added 4 answers

Let:
Marlowe's present age=M
Jean's present age=J
So:
M=(1/2)*J
M+8=(3/4)*(J+8)
Substitute J for M in the second equation we will get:
(1/2)*J+8=(3/4)*(J+8)
J=8
Subsitute the value of J back into the first equation:
M=(1/2)*8
M=4
Therefore:
Marlowe's Present Age:4
Jean's Present Age:8

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