Form the pair of linear equations for the following problems and find their solution by substitution method
The difference between two numbers is 26 and one number is three times the other. Find them.
Let larger number = x
Smaller number = y
The difference between two numbers is 26
x – y = 26
x = 26 + y
Given that one number is three times the other
So x = 3y
Putting the value of x we get
26y = 3y
-2y = - 2 6
y = 13
So value of x = 3y
Putting value of y, we get
x = 3 × 13 = 39
Hence the numbers are 13 and 39.
Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
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