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Mathematics

The difference between two numbers is 36. The quotient when one number is divided by other is 4. Find the two numbers.

Linear Eqns One Variable

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Answer

Let the number be x.

It is given that the difference between the numbers is 36. So, the other number is x−36.

According to the question, the quotient when one number is divided by the other is 4.

⇒xx−36=4⇒ \dfrac{x}{x - 36} = 4

By cross multiplying, we get :

⇒ x = 4(x - 36)

⇒ x = 4x - 144

⇒ 4x - x = 144

⇒ 3x = 144

⇒ x = 1443\dfrac{144}{3}

⇒ x = 48

Other number be (x - 36)

= (48 - 36)

= 12

Hence, the two numbers are 48 and 12.

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