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

1.	A number whose fifth part increased by 5 is equal to its fourth part diminished by 5. Find the number.
Answer» Let us consider the number as ‘x’ So, x/5 + 5 = x/4 – 5 x/5 – x/4 = -5 – 5 By taking LCM for 5 and 4 which is 20 (4x-5x)/20 = -10 By cross-multiplying we get, 4x – 5x = -10(20) -x = -200 x = 200 ∴ The number is 200.

A number whose fifth part increased by 5 is equal to its fourth part diminished by 5. Find the number.

Answer»

Let us consider the number as ‘x’

So,

x/5 + 5 = x/4 – 5

x/5 – x/4 = -5 – 5

By taking LCM for 5 and 4 which is 20

(4x-5x)/20 = -10

By cross-multiplying we get,

4x – 5x = -10(20)

-x = -200

x = 200

∴ The number is 200.