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# Two Positive Numbers Are in the Ratio 3 : 5 and the Difference Between Their Squares is 400. Find the Numbers. - ICSE Class 10 - Mathematics

#### Question

Two positive numbers are in the ratio 3 : 5 and the difference between their squares is 400. Find the numbers.

#### Solution

Let the two numbers be 3x and 5x.
According to the given information

(5x)^2 − (3x)^2 = 400
25x^2 − 9x^2 = 400
16x^2 = 400
x^2 = 25
x = 5
Thus, the numbers are 3 × 5 = 15 and 5 × 5 = 25.

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#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7A | Q: 10

#### Video TutorialsVIEW ALL [1]

Solution Two Positive Numbers Are in the Ratio 3 : 5 and the Difference Between Their Squares is 400. Find the Numbers. Concept: Ratios.
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