Question

Two numbers are in the ratio 2:3. If 4 be subtracted from each, they are in the ratio 3:5. The numbers are

Answer 1

let no. 2x and 3x then
(2x-4)/(3x-4)=3/5
10x-20=9x-12
x=8
now, numbers are:2×8=16. &. 3×8=24
hope it help

Answer 2

Answer:

The two numbers are 16 and 24.

Step-by-step explanation:

Two numbers are in the ratio 2:3.

Let the two numbers are 2x and 3x.

If 4 be subtracted from each, they are in the ratio 3:5.

$\frac{2x-4}{3x-4}=\frac{3}{5}$

$5(2x-4)=3(3x-4)$

$10x-20=9x-12$

$10x-9x=20-12$

$x=8$

The value of x is 8.

The two numbers are

$2x=2\times 8=16$

$3x=3\times 8=24$

Therefore the two numbers are 16 and 24.