Question

what number is that of which the third part exceeds the fifth part by 4

Answer 1

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.

*****

Answer 2

X=30 by the given relation 1 between

these two terms are x/3-x/5