Question

Two numbers are in the ratio4:7 if 3 is added to each number,the ratio becomes 5:8 find the numbers ​

Answer 1

x=3

Step-by-step explanation:

Let the number be 4x and 7x

ATQ

\begin{gathered}\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\end{gathered}

7x+3

4x+3

=

8

5

8(4x+3)=5(7x+3)

32x+24=35x+15

35x−32x=24−15

3x=9

x=

3

9

x=3

sothenumberis4×3=12

and7×3=21

hope you have helped with this answer please comment me and like about this answer

Answer 2

Step-by-step explanation:

7x+3=4

7x=4-3

7x=1

x=1/7