Question

two numbers are in ratio 4:7 if 3 is added to each number the ratio become 5:8 find the numbers

Answer 1

$\huge\red{Answer\: is}$

Let the number be 4x and 7x

ATQ

$\frac{4x + 3}{7x + 3} = \frac{5}{8} \\ 8(4x + 3) = 5(7x + 3) \\ 32x + 24 = 35x + 15 \\ 35x - 32x = 24 - 15 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3 \\ so \: the \: number \: is \: 4 \times 3 = 12 \\ and \: 7 \times 3 = 21$
$<marquee>Hope it helps you$

Answer 2

Hey mate here is your answer ⤵⤵⤵

Let the numbers be 4x and 7x .

Then,If 3 is added to each number,The ratio becomes 5:8

$\implies$(4x+3):(7x+3)=5:8

$\implies$$\dfrac{(4x+3)}{(7x+3)}=\dfrac{5}{8}$

On,cross multiplying

$\implies$(4x+3)×8=(7x+3)×5

$\implies$32x+24=35x=15

$\implies$32x-35x=15-24

$\implies$-3x=-9

$\implies$x=$\cancel{\dfrac{-9}{-3}}$

$\implies$x=3

Hence the numbers are 4x=4×3=12

And 7x=7×3=21

❤hope it helps you ❤

#Be Brainly