Question

two numbers are in the ratio of 3:7 if 4 is added to each of them then the ratio becomes 1:2 find the numbers

Answer 1

The answer is 12 and 28. Let's check how.
First take the ratio 3:7 as 3x:7x
As the ques says 3x+4:7x+4=1:2
Using proportional law,
2(3x+4)=1(7x+4)
6x+8=7x+4
Now on solving this, we get:
x=4
Applying value of x in 3x:7x
We get,
12 and 28.
There you go.
Please help me by marking it as BRAINLIEST.

Answer 2

Given:-

• Two numbers are in the ratio 3 : 7
• If 4 is added to each of them, then the ratio becomes 1 : 2

Solution:-

Two numbers are in the ratio 3 : 7

Let the actual ratio be 3x : 7x

If 4 is added to each of them, then the ratio becomes 1 : 2

i.e. (3x + 4) : (7x + 4) = 1 : 2

$\sf{\dfrac{(3x+4)}{(7x+4)} = \dfrac{1}{2}}$

$\sf{2(3x+4) = 7x+4}$

$\sf{6x + 8 = 7x+4}$

$\sf{6x-7x = 4 - 8}$

$\sf{-x = -4}$

$\sf{x = 4}$

Therefore, the numbers are

3x = 3(4) = 12

7x = 7(4) = 28