Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8

Q.

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

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

12

b

20

c

18

d

19

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

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

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

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