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Pair of Linear Equations in Two Variables
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27/05/2021 11:50 am
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Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
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27/05/2021 11:51 am
Let us assume, present age of Nuri is x
And present age of Sonu is y.
According to the given condition, we can write as;
x – 5 = 3(y – 5)
x – 3y = -10 ……………..(1)
Now,
x + 10 = 2(y +10)
x – 2y = 10 ………………….(2)
Subtract eq. 1 from 2, to get,
y = 20 …………………….(3)
Substituting the value of y in eq.1, we get,
x – 3.20 = -10
x – 60 = -10
x = 50
Therefore,
Age of Nuri is 50 years
Age of Sonu is 20 years.