SOLUTION: Gabrielle is 11 years older than Mikhail. The sum of their ages is 59 . What is Mikhail's age?

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Question 1128288: Gabrielle is 11
years older than Mikhail. The sum of their ages is 59
. What is Mikhail's age?

Answer by Quadratic1600(28)   (Show Source): You can put this solution on YOUR website!
Hi
g = m + 11
g+m = 59
We can treat these like simultaneous equations and substitute g for m + 11
m + 11 + m = 59
2m + 11 = 59
2m = 59 -11
2m = 48
m = 48/2
m=24
So Mikhail's age is 24 and Gabrielle's age is 35
35 + 24 = 59
In this sort of question you have to build two simultaneous equations. You don't have to substitute one equation in to another you could write
g = m+ 11
g + m = 59
And then
g - m = 11
g + m = 59
Because it is ± you add the two
so you get 2g = 70 so g = 35
35 -11 =24
Either way you get the right answer
Hope this was helpful

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