Question

दो संख्याओं का अनुपात 7:9 है तथा उन संख्याओं का गुणनफल 252 है संख्याएं ज्ञात करो ?

Answer 1

let the number is x and y.

THEN.

according to question X into y equal to 252 where X upon Y equal to 7 by 9 then 9 X equal to 7 y and X equal to 7 Y upon 9 thus

7 Y upon 9 into Y equal to 252 then 7 y square equal to 252 into 9 and Y equal to 18 after this putting the value of why in X does x is equal to 14.

x=14
y= 18

Answer 2

Answer:

14, 18 or -14, -18

Step-by-step explanation:

The ratio of two numbers is 7:9. If the numbers are x and y then we have the equation

$\frac{x}{y}={7}{9}\\\\\text{On simplifying, we get}\\\\x=\frac{7}{9}y...(1)$

Now, the multiplication of these numbers is 252. Thus,

$xy=252\\\\\text{Plugging the value of x from (1)}\\\\\frac{7}{9}y\cdoty=252\\\\y^2=252\cdot\frac{9}{7}\\\\y^2=324\\\\y=\pm18$

Now, for y = 18

$x=\frac{7}{9}\cdot18\\\\x=14$

And, for y = -18

$x=\frac{7}{9}\cdot(-18)\\\\x=-14$

Therefore the numbers are

14, 18 or -14, -18