Question

Two numbers are in the ratio 4:7. If 12 is added to each number the ratio becomes 7:10. Find the two numbers. Solve with explanation.​

Answer 1

Step-by-step explanation:

Let the number be 4x and 7x

ATQ

\begin{lgathered}\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{lgathered}7x+34x+3=858(4x+3)=5(7x+3)32x+24=35x+1535x−32x=24−153x=9x=39x=3sothenumberis4×3=12and7×3=21

Answer 2

Answer:

The numbers are 16 and 28 respectively

Step-by-step explanation:

let us consider the numbers as 4x and 7x respectively.

so, 4x + 12 = 7x

7x-4x=12

3x=12

x=4

thus, 4x= 4×4= 16

7x= 7×4= 28

hope it helps...

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