Answer:
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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