Question

If 1/5 of a number is subtracted from 1/2 of that number,the difference is 5 less than 1/3 of same number. Find the number.

Answer 1

let the no. be x
1/2x -1/5x= 5-1/3x
LCM
5x/10- 2x/10 = 5-1/3x
3x/10=5-1/3x
3x/10+1/3x=5
LCM
3x/30+10/30x=5
13/30x=5
13x=5×30
13x=150
x=150/13


i hope it will help you

Answer 2

Answer:

Unknown number is 150/13.

Step-by-step explanation:

Let unknown number is x

According to question if 1/5 of a number is subtracted from 1/2 of that number, the difference is 5 less than 1/3 of the same number.

x/2 - x/5 = 5 - x/3

5x/10- 2x/10 = 5 - x/3

3x/10 = 5 - x/3

3x/10 + x/3 = 5

3x/30+10x/30 = 5

13x/30 = 5

13x = 5×30

13x = 150

x = 150/13

So number is 150/13

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