Question

11. Two numbers are in the ratio 3: 7. If 4 is added to each of them, then the ratio becomes 1:2. Find the numbers


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Answer 1

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

Question

• Two numbers are in the ratio 3: 7. If 4 is added to each of them, then the ratio becomes 1:2. Find the numbers?

Answer

• Numbers are 12 and 28

Given

• Two numbers are in ratio 3:7

To Calculate

• Numbers __?

Step By Step Explanation

Two Numbers are in ratio 3:7 ( Given)

Let the numbers be 3x and 7x

According to Question

$= \frac{3x + 4}{7x + 4} = \frac{1}{2}$

➺ 2(3x+4) = 1(7x+4)

➺ 6x +8 = 7x +4

➺ 6x-7x = 4-8

➺ -x = -4

➺ x= 4

Numbers = 3x = 3×4 = 12

7x = 7×4= 28

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

• Numbers are 12 and 28

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Answer 2

Question

Two numbers are in the ratio of 3:7 . of 4 is added to each of them , then the ratio will be 1:2 . find the numbers ?

Answer

Given,

• Two numbers are in ratio of 3:7
• 4 is added to each of them
• after adding 4 the ratio will be 1:2 .

To find ,

• we have to find here the numbers .

Solution

Let's take the ratio in "X" .

After taking it will be - 3x and 7x .

Now,

According to the Question

3x+4/7x+4=1/2

=> 2(3x+4)=1(7x+4)

=> 6x-7x =4-8

=> -X=-4

=> X = 4

Then ,

the numbers are

=> 3x=3×4=12

=>7x=7×4=28

Hence, the numbers are 12 and 28 .