Question

2)Two numbers are in the ratio 3:4.If 6is subtracted from each of the numbers , the ratio becomes 2:3.Find the numbers.​

Answer 1

Answer:

18 and 24

Step-by-step explanation:

Let the numbers be 2x and 3x respectively.

ACQ

$\therefore \tt \: \longrightarrow \frac{3x - 6}{4x - 6} = \frac{2}{3} \\ \\ \tt \: \longrightarrow \: 3(3x - 6) = 2(4x - 6) \\ \\ \tt \longrightarrow \: 9x - 18 = 8x - 12 \\ \\ \tt \longrightarrow \: x = 6$

Ans: 18 and 24

Answer 2

Answer:

Let the two numbers be and . As per condition 1, i.e., Two numbers are in the ratio 3 : 4. The equation becomes,          (1) As per condition 2, If is added to each, the ratio becomes . The equation becomes,     (2) Equation (1) can be written as Substituting in (2) we get, Re substituting in (1) we get, Hence Numbers are and