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Linear Equation in One Variable | Linear Equation in One Variable Exercise 9.4

Question 5

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

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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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Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 5

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

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

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.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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