Question

Ratio of two numbers5:9. Decreased by 5. Ratio becomes 5:11. Find the number

Answer 1

Step-by-step explanation:

Let the two numbers be x & y

Given, x /y = 5/9. Also, x/y - 5=5/11

9x =5y

x=5y/9__eq 1 x-5y/y=5/11

(x-5y)11 =5y

11x-55y=5y

11x-55y-5y=0

11x-60y=0__eq 2.

Put the value of x in eq 2,

11(5y/9)-60y=0

55y/9 - 60y=0

55y-9×60y/9 =0

55y-540y=0×9

-485y=0

Y =485

Now,put the value of y in eq 1,

x=5×485/9

x =2425/9

x=269.45