Question

Two numbers are in the ratio 7:11. If 7 is added to each of the numbers, the ratio becomes
2:3. Find the numbers.
​

Answer 1

Step-by-step explanation:

Answer:

49 and 77

S

The two number are in ratio 7:11

Let the ratio be x

So, Numbers are 7x and 11 x

Now 7 is added to both the ratio becomes 2:3

So, ATQ

\frac{7x+7}{11x+7}=\frac{2}{3}

11x+7

7x+7

=

3

2

3(7x+7)=2(11x+7)3(7x+7)=2(11x+7)

21x+21=22x+1421x+21=22x+14

7=x7=x

So, Numbers = 7 x = 7 * 7 = 49 , 11x = 11*7 = 77

Answer 2

$\bf\underline{\underline{\purple{SOLUTION:-}}}$

Question

• Two numbers are in the ratio 7:11. If 7 is added to each of the numbers, the ratio becomes 2:3. Find the numbers?

Answer

• Numbers are 49 and 77

Given

• Ratio of Two numbers is 7:11

To Calculate

• Numbers __?

Step by step explanation

Numbers are in ratio 7:11

Let the First number be 7x

Second be 11x

Now,

7 is added to both the ratio becomes 2:3

According to Question

$⟹ \: \frac{7x + 7}{11x + 7} = \frac{2}{3}$

$⟹ \:3(7x + 7) = 2(11x + 7)$

$⟹ \: 21x + 21 = 22x + 14$

$⟹21x - 22x = 14 - 21$

$⟹ - 1x = - 7$

$⟹x = 7$

So,

First number is 7x= 7×7= 49

Second is 11x= 11×7=77

$\bf\underline{\underline{\purple{HENCE:-}}}$

• Numbers are 49 and 77