Question

two numbers are in the ratio of 4:9. if the first number is increased by 50% and second number is doubled then the ratio becomes 1:3 then original numbers are:

Answer 1

Not sure but it can be right

Answer 2

Answer:36,81

Step-by-step explanation:

Let the first no be 4k and the second no be 9k

So, the first no is increased by 50%

50% of 4k is

(50/100 x 4k) + 4k = (2k + 4k) i.e  6k

And the second no is doubled

9k x 2 = 18k

Now the first no is 6k and the second no is 18k, and the ratio is 1 : 3

so, 6k / 18k =1 / 3

18k = 18k

So, k can be considered as 18 i.e k = 18

Our no was 4k and 9k

so,

4k = 4x18 = 72 (72 / 2 = 36)

9k = 9x18 = 162 (162 / 2 = 81)

Hence, the original no is 36, 81.