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Answers
Answer:
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Step-by-step explanation:
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?
Linear Equations in 2 variables:
This is a simple question of linear equations in 2 variables. It involves forming the 2 equations by reading the word problem carefully and by assigning variables to certain entities in the question. Then, it requires solving these so formed equations by the method of substitution or elimination. This is a category of problems where the present ages of 2 individuals need to be found out.
Answer and Explanation:
Let the present age of Nuri be x years.
Let the present age of Sonu be y years.
Case 1: 5 years ago:
Age of Nuri = x - 5 years
Age of Sonu = y - 5 years
It is given that 5 years hence, the age of Nuri was 3 times that of Sonu. Putting it in the form of an equation, we get:
x - 5 = 3(y - 5)
x - 3y = -10 (1)
Case 2: 10 years later:
Age of Nuri = x + 10 years
Age of Sonu = y + 10 years
It is given that 10 years later, the age of Nuri will be 2 times that of Sonu. Putting it in the form of an equation, we get:
x +10 = 2(y + 10)
x - 2y = 10 (2)
We need to solve equation (1) and (2) simultaneously:
(1) x - 3y = -10
(2) x - 2y = 10
Now, in (1), we have:
x = -10 + 3y
Substituting the value of x from (1) in (2), we get:
-10 + 3y -2y = 10
y = 20
y = 20
Putting this value of y in equation (1), we get:
x - 3(20) = -10
x = 50
Hence, the present age of Nuri is 50 years and the present age of Sonu is 20 years.