Question

12.दो धनात्मक संख्याओं का गुणनफल 11520 तथा उनका
भागफल 9/5 है, तो उन दोनों संख्याओं के बीच अंतर ज्ञात
कीजिये
a.60
b.64
c.74
d.70​

Answer 1

The correct option is b.

Step-by-step explanation:

Let two positive numbers are x and y.

Product of two number is 11520.

$xy=11520$          .... (1)

Quotient of both numbers is 9/5.

$\frac{x}{y}=\frac{9}{5}=9:5$

Let x=9k and y=5k. Substitute these values in equation (1).

$(9k)(5k)=11520$

$45k^2=11520$

Divide both sides by 45.

$k^2=256$

Taking square root on both sides.

$k=16$

The value of k is 16. So,

$x=9(16)=144$

$y=5(16)=80$

Difference between both numbers is

$x-y=144-80=64$

Therefore, the correct option is b.

#Learn more

Product of 2 no. is 1575 and thrir quotient is 9/7 find the no.

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