Question

Two numbers are such that the ratio between them is 4:7, if
each is increased by 4 , the ratio becomes 3:5 The larger number is
a)32
b)56
c)24
d)40
​

Answer 1

Answer:

56 is the answer of this question

Answer 2

Answer:

b.) 56

Step-by-step explanation:

Given:

• Two numbers are such that the ratio between them is 4:7.
• If each is increased by 4, the ratio becomes 3:5.

To find:

• The larger number.

Solution:

First we will assume the two numbers as 4x and 7x respectively because we know the ratio between the numbers is 4 and 7. If each is increased by 4 which means we will add 4 to each number, which we have assumed then the ratio becomes 3:5 that means, it is equal to 3/5. Thus, forming an adequate equation and doing required calculations, we will find both the value of x. After that we will find the larger number.

Let's find it...

Let the number be 4x and 7x respectively.

When each number is increased by 4, ratio becomes 3:5,

According to the problem,

• (4x + 4)/(7x + 4) = 3/5
• 5(4x + 4) = 3(7x + 4)
• 20x + 20 = 21x + 12
• 21x - 20x = 20 - 12
• x = 8

➙ The larger number = 7x

➙ The larger number = 7 × 8

➙ The larger number = 56

∴ The value of larger number is 56.

Option b.) is correct

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