4/5 of a number is more than 3/ 4 of the number by 5.Find the number.
Answers
Given:
4/5 of a number is more than 3/ 4 of the number by 5
To find:
The number
Solution:
The number required is 100.
Let's assume that the required number is X.
We will form an equation as per the given information and obtain the number.
As per the question, 4/5th of the number=4/5 of X
=4/5×X
=4X/5
Similarly, 3/4th of the number=3/4×X
=3X/4
We know that 4X/5 is more than 3X/4 by 5.
Using these values,
4X/5=3X/4+5
4X/5-3X/4=5
On taking the LCM,
(16X-15X)/20=5
X/20=5
X=20×5
X=100
Therefore, the number required is 100.
Concept:
An expression for a portion of a whole is a fraction.
In general, the whole can be any particular thing or value, and the fraction might be a portion of any quantity out of it.
The top and bottom numbers of a fraction are explained by the fundamentals of fractions. The bottom number reflects the entire number of components, while the top number represents the number of chosen or coloured portions of the whole.
If a number must be divided into four parts, then x/4 is used to indicate the result. In this case, the fraction x/4 represents 1/4 of the number x. Thus, the fraction in this case is 1/4. It denotes a proportion of one in four. It can be read as 1/4 or one-fourth. This is known as fraction.
Given:
4/5 of a number is more than 3/ 4 of the number by 5
Find:
The number
Solution:
The number required is 100.
Let's assume that the required number is X.
W will form an equation as per the given information and obtain the number.
As per the question, 4/5th of the number=4/5 of X
=4/5×X
=4X/5
Similarly, 3/4th of the number=3/4×X
=3X/4
We know that 4X/5 is more than 3X/4 by 5.
Using these values,
4X/5=3X/4+5
4X/5-3X/4=5
On taking the LCM,
(16X-15X)/20=5
X/20=5
X=20×5
X=100
Therefore, the number required is 100.
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