The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?

44 years

Step-by-step explanation:

The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?

Let Michael age = x , Leah = y

x+ y = 71 ..(1)

10 year ago

Michael = x -10

Leah = y - 10

Michael = 2×leah

x - 10 = 2(y-10)

x - 10= 2y - 20

x - 2y = -20+10

x - 2y = -10 (2)

x + y = 71  (1)

Solve simultaneously using elimination method, subtract 1 from 2

-2y - y = -10-71

-3y = -81

Divide both sides by -3

y = -81/-3

y =27

x+y = 71

Put y =27

x+27= 71

x = 71 -27

x =44 years

Therefore Michael is 44years

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