Question

. The two numbers are in the ratio of 1 : 2. If both the numbers are increased by 10, their ratio becomes
2:3. Find the numbers.
91​

Answer 1

• The two numbers are 10, 20

Given:

The two numbers are in the ratio 1:2

• Let one number be 1x
• And another number be 2x

According to the question:

If both the numbers are increased by 10 the resulting ratio is 2:3

So,

The equation formed is

$\boxed{\implies \frac{1x+\red{10}}{2x+\red{10}}=\frac{2}{3}}$

[By cross multiplication, we get]

⇒ 3(1x + 10) = 2(2x + 10)

⇒ 3x + 30 = 4x + 20

⇒ 30 - 20 = 4x - 3x

⇒ 10 = 1x

Thus,

The value of x is 10

Now,

The numbers are

• 1x = 1 * 10 = 10
• 2x = 2 * 10 = 20

Answer 2

$\huge{\boxed{\sf QuEsTIoN}}$

The two numbers are in the ratio of 1 : 2 .If both the numbers are increased by 10 , their ratio becomes 2 : 3 . Find the numbers.

Given:-

• Two numbers are in ratio of 1:2

To Find:-

• Find the two numbers

$\huge \mathbb{\underbrace{\red{Solution\:}}}$

Let the numbers be 1x , 2x

➭ 1x + 10 = 2

2x + 10 = 3

➭ 3(x + 10) = 2(2x + 10)

➭ 3x + 10 = 4x + 20

➭ 3x = 4x + 20 - 10

➭ 3x = 4x +10

➭ x = 10

Thus

The value of x = 10

1x = 1 × 10

2x = 2 × 10

The two numbers are 10 , 20

Hence Verified