Q.

If three fifths of a number is greater than one fourth of the number by 7, then the number is

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a

12

b

20

c

18

d

19

answer is C.

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Detailed Solution

Let the unknown number be x.

According to the problem, three-fifths of the number is greater than one-fourth of the number by 7. This can be written as:

(3/5)x - (1/4)x = 7

To solve for x, we first find a common denominator for the fractions on the left side. The least common denominator (LCD) of 5 and 4 is 20. So, we rewrite the fractions with denominator 20:

(3/5)x = (12/20)x 
and 
(1/4)x = (5/20)x

Now substitute these into the equation:

(12/20)x - (5/20)x = 7

Simplify the left side:

(7/20)x = 7

To solve for x, multiply both sides of the equation by 20:

7x = 7 × 20

7x = 140

Now divide both sides by 7:

x = 140 / 7

x = 20

So, the number is: 20

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