Two numbers are in the ratio 5:7. the difference of their squares is 1536. find the number.
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Answered by
5
the no is 5x and 7x
=>(7x)² - (5x )² = 1536
=>(7x+5x )(7x-5x ) = 1536
=>12x × 2x = 1536
=>24x² = 1536
=>x²= 1536/24 = 64
=>x= √64
=>x=8
=>then ,no ,5x = 5×8 = 40 and 7x = 7×8 = 56
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Answered by
13
let the no is 5x and 7x
=>(7x)² - (5x )² = 1536
=>(7x+5x )(7x-5x ) = 1536
=>12x × 2x = 1536
=>24x² = 1536
=>x²= 1536/24 = 64
=>x= √64
=>x=8
=>then ,no ,5x = 5×8 = 40 and 7x = 7×8 = 56
=>(7x)² - (5x )² = 1536
=>(7x+5x )(7x-5x ) = 1536
=>12x × 2x = 1536
=>24x² = 1536
=>x²= 1536/24 = 64
=>x= √64
=>x=8
=>then ,no ,5x = 5×8 = 40 and 7x = 7×8 = 56
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