A number whose fifth part increased by 5 is equal to its fourth part diminished by 5. Find the number.
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.
Lido
Courses
Quick Links
Terms & Policies
Terms & Policies