Step-by-step 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,
[tex](x +11) + (x + 3) = 54[/tex]
[tex]2x + 14 = 54[/tex]
[tex]2x = 54 - 14[/tex]
[tex]x = \frac{40}{2} [/tex]
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...
