Question

Anumber is divided into two parts such that one part is 10 more than the other. If the two
parts are in the ratio 5:3, find the number and the two parts.
When​

Answer 1

✬ Number = 25 ✬

Explanation:

Given:

• A number is divided into two parts.
• Ratio of two parts is 5 : 3.

To Find:

• What are the numbers ?

Solution: Let x be the common in given ratio. Therefore,

➨ First part = 5x

➨ Second part = 3x

Now, A/q

• One part is 10 more than other i.e 5x = 3x + 10

$\implies{\rm }$ 5x = 3x + 10

$\implies{\rm }$ 5x – 3x = 10

$\implies{\rm }$ 2x = 10

$\implies{\rm }$ x = 10/2

$\implies{\rm }$ x = 5

So,

➭ First part = 5x = 5(5) = 25

➭ Second part = 3x = 3(5) = 15

Hence, the number is 25 + 15 = 40.