Question

What number is that of which the third part exceeds the fifth part by 4?​

Answer 1

Answer:

Step-by-step explanation:

Hi ,

Good question

Most of the students fail to convert

Word problem to an algebraic

equation.

According to the problem

Let the number = x

Third part of the number = x / 3

Fifth part of the number = x / 5

Given relation between these to

terms are ,

x / 3 - x / 5 = 4

Find the LCM of 3 and 5 = 3 × 5 = 15

( 5x - 3x )/ 15 = 4

2x / 15 = 4

x = (4 / 1 ) × ( 15/ 2 )

After cancellation

x = 2 × 15

x = 30

Therefore,

Required number = x = 30

Hope this will helps you.

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Answer 2

Answer:

Let number be n

Third part of number exceeds fifth part by 4

3

n

=

5

n

+4

5n=3n+60

2n=60⇒n=30