Question

Two numbers are in the ratio 5:9.If 4 is added to each of the numbers,the ratio becomes 3:5.Find the numbers.​

Answer 1

Step-by-step explanation:

{5x+4 }/9x+4 = 3/5

25x+20= 27x+12

2x =8

x =4

5x =5×4=20

9x =9×4=36

Answer 2

Let the common ratio be 'x'

==> Two numbers are in the ratio 5:9. So, the numbers will become 5x and 9x.

If 4 is added, it becomes 3:5. So, the equation will be:-

--> (5x + 4)/ (9x + 4) = 3/5

Cross Multiplication,

--> 5[5x + 4] = 3[9x + 4]

--> 25x + 20 = 27x + 12

--> 27x - 25x = 20 - 12

--> 2x = 8

--> x = 4

∴ The numbers are 5(4) and 9(4), I.e, 20 and 36.