Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Solution:
Given, a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
We have to find the number.
Let the number be x.
Fifth part = x/5
Fifth part increased by 30 = x/5 + 30
Fourth part = x/4
Fourth part decreased by 30 = x/4 - 30
According to the question,
x/5 + 30 = x/4 - 30
By transposing,
x/5 - x/4 = -30 - 30
(4x - 5x)/20 = -60
-x/20 = -60
x/20 = 60
x = 60(20)
x = 1200
Therefore, the number is 1200.
✦ Try This: Find a number whose sixth part increased by 20 is equal to its fifth part decreased by 40.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 87
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Summary:
A number whose fifth part increased by 30 is equal to its fourth part decreased by 30 is 1200
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