sat math word problem

[Jack]

Five years ago, Jim was half as old as John is now. If John is six years older than Jim, how old is John now ?


(A)

(B)

(C)

(D)


Thanks!

[miranda]

Let x,y be the Jim’s and John’s age now respectively.
So, the proposition “Five years ago, Jim was half as old as John is now” can be written as
(1)

and the proposition “John is six years older than Jim” can be written as
(2)

Solving the simultaneous equations (1) and (2)


Therefore the correct answer is (A).

[Jack]

Thank you !!