what number is that of which the third part exceeds the 55 part by 4
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I dont understand. Is it a very long number to have over 55 parts. Pls reply.
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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.
_____________________________________________________________
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.
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.
_____________________________________________________________
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.
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