The sum of the ages of Michael and Savannah is 114 years. 7 years ago, Michael's age was 4 times Savannah's age. How old is Michael now?

Micheal is 87 years old

Step-by-step explanation:

Let x be the age of micheal and y be the age of savannah

x + y = 114

seven years ago, micheal's age was 4 times savannahs'

x - 7 = 4 * (y - 7)

x - 7 = 4y - 28

x = 4y - 28 + 7

x = 4y - 21

since we got x = 4y - 21 then we substitute in x + y = 114

4y - 21 + y = 114

5y - 21 = 114

5y = 114 + 21

5y = 135

y = 27

replace y in x + y = 114

x + 27 = 114

x = 114 - 27 = 87

m = age of michael

s = age of savannah

m+s=114

7 years ago:

(m-7) = 4 (s-7)

m+s=114

m=4s-21

(4s-21) + s=114

5s=114+21=135

s=135/5=27

m=114-s=114-27=87

Answer: now michael is 87.

Savannah is 27