Question

The ratio of two numbers is 3:4. If 5 is subtracted from both the numbers , then the ratio becomes 5:7. Find the numbers​

Answer 1

The answer is in the following attachment .

Best of luck for the maths exam -Class 10th

Answer 2

Answer:

The Numbers are 30 and 40.

Step-by-step explanation:

$\textbf{\underline{\underline{Given :}}}$

Ratio of the numbers = 3 : 4

Ratio when 5 is subtracted the ratio = 5 : 7

$\textbf{\underline{\underline{To find : }}}$

The numbers

$\textbf{\underline{\underline{Solution :}}}$

$\textsf{\underline{\underline{Let the numbes be -}}}$

• One as 3y
• Second as 4y

$\rule{300}{1.5}$

✯ $\textsf{\underline{\underline{According to the question - }}}$

$\longrightarrow$ $\underline{\boxed{\sf{ \frac{3y - 5}{4 - 5} = \frac{5}{7}}}}$

$\sf{\longrightarrow} \: 7(3y - 5) = 5(4y - 5) \\ \\ \sf{\longrightarrow} \: 21y - 35 = 20y - 25 \\ \\ \sf{\longrightarrow} \: 21y - 20y = - 25 + 35 \\ \\ \sf{\longrightarrow} \:\underline{ y = 10}$

$\rule{300}{1.5}$

✯ $\textsf{\underline{Value of \blue{3y}}}$

$\sf{\longrightarrow} \: 3y = 3(10) = 30$

First number = 30

✯ $\textsf{\underline{Value of \blue{4y}}}$

$\sf{\longrightarrow} \: 4y = 4(10) = 40$

Second number = 40

$\therefore$ The Numbers are 30 and 40.