Question

Zach is 8 years older than Mikayla. In 3 years the sum of their ages will be 54. How old is Zach now?

Answer 1

Explanation:

Hey there!!

Here, Given that, Zach is 8 yrs older than Mikayla.

Let the age of Mikayla be x then age of Zach is (x+8).

Second condition is if 3 is added to their age, their age's sum is 54. So, the ages are:

(x+8) + 3 = x + 11

and x+3.

According to the condition,

`(x +11) + (x + 3) = 54`

`2x + 14 = 54`

`2x = 54 - 14`

`x = (40)/(2)`

Therefore, x = 20

And x+8 = 20 + 8 = 28.

Therefore, the age of Mikayla is 20 years and Zach is 28 years.

Checking:

(x+11) + (x+3)= (20+11) + (20+3) = 54. (True)

Hope it helps...