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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?
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.
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pair of linear equations (60)
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