Two natural numbers are in the ratio 3 : 4 . Find the numbers if the difference between their squares is 175.
Quadratic Equations
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Question

Two natural numbers are in the ratio 3 : 4 . Find the numbers if the difference between their squares is 175.

KnowledgeBoat · Accepted Answer

Since, the numbers are in the ratio 3 : 4, hence the numbers be 3x and 4x. Given , difference between their squares = 175 ∴ (4x)² - (3x)² = 175 Since, numbers are natural hence, x ≠ -5. ∴ x = 5, 3x = 15 , 4x = 20. Hence, the required numbers are 15, 20.

Mathematics

Two natural numbers are in the ratio 3 : 4 . Find the numbers if the difference between their squares is 175.

Quadratic Equations

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