Question

Two numbers are in the ratio 2:3 If 3 added to the numbers ratio changes to 3:4 find the numbers​

Answer 1

Solution :-

Let the numbers = 2x , 3x

• According to question 3 is added to numbers then the ratio becomes 3:4

A.T.Q

$\mapsto\sf{\dfrac{2x+3}{3x+3}=\dfrac{3}{4}}$

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

$\mapsto\sf{8x+12= 9x+9}$

$\mapsto\sf{9x-8x = 12-9}$

$\mapsto\sf{x = 3 }$

So , numbers are

2x = 2(3) = 6

3x = 3(3) = 9

Answer 2

Answer:

6 and 9

Step-by-step explanation:

(2x + 3) / (3x + 3) = 3/4

4(2x + 3) = 3(3x + 3)

8x + 12 = 9x + 9

x = 3

2x = 2 * 3 = 6

3x = 3 * 3 = 9