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RD Sharma Solutions Class 8 Mathematics Solutions for Linear Equation in One Variable Exercise 9.4 in Chapter 9 - Linear Equation in One Variable

Question 5 Linear Equation in One Variable Exercise 9.4

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.

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