Question

107. The ratio of two numbers is 9:17. Which least
number must be added in both number so that
ratio became 7:11 ?
(a) 5
(b)3
(c) 4
(d) 2​

Answer 1

Ratio of the numbers - 9:17

Let x be added to both the numbers to form 7:11

= (9+x):(17+x) = 7:11

$= \frac{9 + x}{17 + x} = \frac{7}{11}$

$= 11(9 + x) = 7(17 + x)$

$= 99 + 11x = 119 + 7x$

$= 4x = 20$

$= x = 5$

So, the correct option is (a) 5

Answer 2

Answer:

9+x

_____=7/11

17+x

cross multiplication

11 (9+x)=7 (17+x)

99+11x=119+7x

11x-7x=119-99

4x=20

x=20/4=5

option a is the answer of ur question