Question

Michael is 121212 years older than Brandon. Seventeen years ago, Michael was 444 times as old as Brandon. How old is Michael now?

Answer 1

Let Brandon's age be = b years

Let Michael's age be = m years

As Michael is 12 years older than Brandon, Michael's age, so

`m=b+12`

Seventeen years ago, Michael was 4 times as old as Brandon, so

`m-17=4(b-17)`

`m-17=4b-68`

`m=4b-51`

`m-4b=-51`

Substitute m=b+12

`b+12-4b=-51`

`-3b=-63`

`b=21`

Hence, Brandon's age is 21 years

As m=b+12

`m=21+12`

`m=33`

Hence, Michael's age is 33 years.