Question

Two numbers are in the ratio4:7. If the first number is increased by 5 and second number is increased by 20 the new ratio formed is 1:2. Find original numbers​

Answer 1

Answer:

Let numbers be x and 2x

Now, (x - 5)/(2x + 4) = 5/4

=> 4x - 20 = 10x + 20

=> x = -20/3

Numbers are -20/3 and -40/3

Looks weird, but satisfies both conditions ….

On a closer look, the asker has asked if the ratio would become 4:7

This is not necessary. Let the two numbers be 10 & 20.

New fraction should be (10 - 5)/(20+4)= 5/24

It will be 5:4 if and only if the original numbers are -20/3 and -40/3

Answer 2

Step-by-step explanation:

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.