Question

what number is that of which the third part exceeds the 55 part by 4

Answer 1

I dont understand. Is it a very long number to have over 55 parts. Pls reply.

Answer 2

Solution :-

There is a mistake in this question. I think the appropriate question should be like this.

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

Let the required number be x

x/3 =  x/5 + 4

x/3 - x/5 = 4

Taking the LCM of the denominators and then solving it.

(5x - 3x)/15 = 4

2x/15 = 4

2x = 15*4

2x = 60

x = 60/2

x = 30

So, the required number is 30.

Answer.

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Let us check our answer..

⇒ x/3 = x/5 + 4

⇒ 30/3 = 30/5 + 4

⇒ 10 = 6 + 4

⇒ 10 = 10

L.H.S. = R.H.S.

So, our answer is correct.