Question

The sum of two number is 65,and the two number are in the ratio 6:7 find the number​

Answer 1

Answer:

Numbers are 6x and 7x

6x+7x=65

13x=65

x=65÷13

x=5

6x=5×6=30

7x=5×7=35

The numbers are 30 and 35

Hope it helps

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Numbers are 30 and 35

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

$\text{\underline{\underline{\purple{Given :}}}}$

The sum of two numbers is 65

Ratio of the Numbers = 6 : 7

$\text{\underline{\underline{\purple{To find :}}}}$

The numbers

$\text{\underline{\underline{\purple{Solution :}}}}$

Consider the -

• One Number as 6x
• Second Number as 7x

★ $\boxed{\sf{6x+7x=65}}$

$\sf{\longrightarrow} \:6x + 7x = 65$

$\sf{\longrightarrow} \:13x = 65$

$\sf{\longrightarrow} \:x = \dfrac{65}{13}$

$\sf{\longrightarrow} \:x = 5$

$\rule{300}{1.5}$

★ Value of 6x

$\sf{\longrightarrow} \:6 \times 5$

$\sf{\longrightarrow} \:30$

One Number = 30

$\rule{300}{1.5}$

★ Value of 7x

$\sf{\longrightarrow} \:7 \times 5$

$\sf{\longrightarrow} \:35$

Second Number = 35

$\therefore$ The Numbers are 30 and 35

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

Check if the sum of 30 and 35 is 65

$\sf{\longrightarrow} \:30 + 35 = 65$

$\sf{\longrightarrow} \:65 = 65$

$\therefore$ The Numbers are 30 and 35