Question

two numbers are in the ratio 2:3 When each of the two numbers is increased by 8, the ratio between them becomes 3:4 Find the two numbers ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer :–

1. First number = 16
2. Second number = 24

Given :–

• Two numbers are in ratio 2:3
• Both increased by 8
• The ratio becomes 3:4

To Find :–

• Find the two numbers.

Solution :–

The two numbers which is in ratio 2:3.

Let, the first number be 2x.

And the second number be 3x.

Both increased by 8,

After adding 8, we get,

→ $\frac{2x + 8}{3x + 8} = \frac{3}{4}$

Cross multiplication,

→ 4(2x + 8) = 3(3x + 8)

→ 8x + 32 = 9x + 24

→ 32 - 24 = 9x - 8x

→ 8 = 1x

→ x = 8

Now,

1. 2x = 2 × 8 = 16
2. 3x = 3 × 8 = 24

Hence,

The first number is 16 and the other second number is 24.