Carcass wrote:
Today Jack is twice as old as Mary was 9 years ago. How old is Mary today in terms of Jack's current age, Y?
(A)Y+ 9
(B)Y+ 18
(C) (Y + 9)/2
(D) (Y + 18)/2
(E) (Y/2) - 9
Let Y = Jack's PRESENT age
Let M = Mary's PRESENT age
Today Jack is twice as old as Mary was 9 years ago.We can write:
Y = 2(M - 9)How old is Mary today in terms of Jack's current age, Y? So, we must solve our newly-created equation for M
Take:
Y = 2(M - 9)Divide both sides by 2 to get:
Y/2 = M - 9Add 9 to both sides:
Y/2 + 9 = MCheck the answer choices . . . not there.
Looks like we need to combine
Y/2 + 9 into one fraction.
Rewrite 9 as follows:
Y/2 + 18/2 = MCombine fractions:
(Y + 18)/2 = MAnswer: D