Question

The sum of two numbers is 50. If the larger number is divided by the smaller number we get 7/11. Find the numbers.

Answer 1

let bigger number is x
and smaller number is y

so,
x+y=50

and

x/y=7/11

x=7y/11
substituting value of x in first equation,
(7y/11)+y=50
7y+11y=550
18y=550
y=275/9

so,
x=7•275/9•11

Answer 2

Answer:

x = 175/9 and y = 275/9

Step-by-step explanation:

let the numbers be x, y

gn: x + y = 50

so the numbers are x, 50 - x( ie y = 50-x ) ---------1

now,

x/50-x = 7/11

11x = 7(50-x)

11x = 350 - 7x

11x + 7x = 350

18x = 350

x = 350/18 = 175/9

from equ 1

y = 50 - x

y = 50 - 175/9

y = (450 - 175)/ 9 by take LCM = 9

y = 275/9

x = 175/9 and y = 275/9

I hope this will be helpful :)