Question

Emerson is 5 less than four times Michael’s age. James is fourteen years younger than five times the age of Michael. If Emerson and James are the same age, how old is Michael?

Answer 1

In order to find out the answer you must use the equation( Mx4-5)

Answer 2

Let The age of Emerson be = x years

As James and Emerson are same age then, James age is also = x

Let Michael age be = y years

As Emerson is 5 less than four times Michael’s age, equation becomes

$x=4y-5$   ...... (1)

James is fourteen years younger than five times the age of Michael.

$x=5y-14$ ...... (2)

Now equaling both

$4y-5=5y-14$

$y=9$

Hence, Michael's age is 9 years.

As, x=4y-5 and x=5y-14 , solving them we get,

x=31

Hence, Emerson and James are 31 years old.