The difference between two positive integers is 63. The ratio of the two integers is 2 : 5. Find the two integers.
Polynomials
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Question

The difference between two positive integers is 63. The ratio of the two integers is 2 : 5. Find the two integers.

KnowledgeBoat · Accepted Answer

Let the two positive integers be 2x and 5x (since their ratio is 2 : 5).

Note that 5x > 2x, so the difference is 5x - 2x.

According to the question, the difference between them is 63.

So,

5x – 2x = 63

⇒ 3x = 63

⇒ x = $\dfrac{63}{3}$

⇒ x = 21

So, the two integers are:

First integer = 2x = 2 × 21 = 42

Second integer = 5x = 5 × 21 = 105

Hence, the two integers are 42 and 105.

Mathematics