if the product of two positive numbers be 1575 and their ratio is 7:9, then the greater number is?
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Answered by
26
Numbers are in ratio 7:9
Let the numbers be 7x and 9x.
their product = 7x×9x = 63x²
But it is given that their product is 1575
So 63x² = 1575
⇒ x² = 1575/63
⇒ x² = 25
⇒ x = √25 = 5
Greater number = 9×5 = 45
Let the numbers be 7x and 9x.
their product = 7x×9x = 63x²
But it is given that their product is 1575
So 63x² = 1575
⇒ x² = 1575/63
⇒ x² = 25
⇒ x = √25 = 5
Greater number = 9×5 = 45
Answered by
9
Let the numbers be x y
x*y=1575
x/y =7/9 =>. x=7y/9
7y^2/9=1575.
y^2=225*9
y=√(225*9)
y=15*3
y=45 x=35
Therfore greatest no. Is 45
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