Math, asked by kaushlendravij4663, 1 year ago

Two numbers are in the ratio 5:4. the difference of their suqare is 144 find the two numbers

Answers

Answered by shadowsabers03
3
Let the numbers be 5x and 4x. 

Difference between their squares is (5x)² - (4x)². 

(5x)² - (4x)² = 144
= 25x² - 16x² = 144
= 9x² = 144
= (3x)² = 12²

3x = 12
x = 12 ÷ 3 = 4

5x = 5 × 4 = 20 
4x = 4 × 4 = 16 

Hope this may be helpful. 
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