Question

The sum of two numbers is 120. The greater number is 3 times the
smaller. Find these numbers.

Answer 1

Solution :-

Let the first number be x

Then the second number will be 3 × x = 3x

According to the question

3x + x = 120

4x = 120

Taking 4 to RHS

x = 120/4

x = 30

Number are

x = 30

3x = 3(30) = 90

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Answer 2

x= 30, y= 90

Explanation:

Let the smaller number be x and the greater number be y.

Given that the sum of the 2 numbers is 120,

x +y= 120 -----(1)

The greater number is 3 times the smaller number:

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 120

Simplify:

4x= 120

x= 120 ÷4 (÷4 on both sides)

x= 30

Substitute x= 30 into (2):

y= 3(30)

y= 90