Arna is twice as old as Mae. In 4 years time, she will be five-thirds as old as Mae. How old is each now?

Question

Im stuck at this can u answer it with explination

Answer 1

If M is Mae’s age, then Arna is 2M years old.

In 4 years’ time they’ll be M+4 and 2M+4 year’s old, and we can write: 2M+4=(5/3)(M+4), which means that Arna will be 5/3 times as old as Mae.

Multiply both sides by 3:

6M+12=5M+20,

6M-5M=20-12=8, so M=8, Mae is 8 years old now, so Arna is 16 years old.

(In 4 years Mae will be 12 and Arna 20, 20/12=5/3.)