Question

find the number whose fifth part increased by 5 is equal to its fourth part dimensional by 5​

Answer 1

Answer :

• The number is 200.

Given :

• A number whose fifth part increased by 5 is equal to its fourth part dimensional by 5

To find :

• The number

Solution :

• Let the number be x

According to question :

The number whose fifth part increased by 5 is equal to its fourth part dimensional by 5 so,

➟ x/5 + 5 = x/4 - 5

➟ x/5 - x/4 = -5 - 5

➟ 4x - 5x / 20 = 10

Cross multiplying we get

➟ -x = - 10 × 200

➟ -x = -200

➟ x = 200

Hence , The number is 200.

Verification :

➟ x/5 + 5 = x/4 - 5

➟ 200/5 + 5 = 200/4 - 5

➟ 40 + 5 = 50 - 5

➟ 45 = 45

Hence , Verified