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Form the pair of linear equations for the following problems and find their solution by substitution method. (i) The difference between two numbers is 26 and one number is three times the other. Find them.

Form the pair of linear equations for the following problems and find their solution by substitution method.
(i) The difference between two numbers is 26 and one number is three times the other. Find them.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
9 months ago
Dear Student

Here is the solution:

Let the two numbers be x and y respectively,
such that y > x.
According to the question,
y = 3x ……………… (1)
y – x = 26 …………..(2)
Substituting the value of (1) into (2),
we get
3x – x = 26
x = 13 ……………. (3)
Substituting (3) in (1),
we get
y = 39
Hence, the numbers are 13 and 39

Thanks

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