Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

The ratio of two numbers is 9:5. If 9 is added to the greater number and 5 is subtracted from the smaller number, the greater number becomes thrice the smaller one. Find the numbers:


see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

5 and 2

b

10 and 40

c

36 and 20

d

49 and 30 

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

Concept: We multiply the ratio by a factor x to find the answer to this problem. Then, we adjust these figures as necessary to match the information provided in the inquiry. The answer is then obtained by solving for x.
From the above information, the ratio of the numbers is 9:5.
The ratios become 9x and 5x when multiplied by x.
9x is therefore the bigger number, while 5x is the smaller one.
Given that the larger number is increased by 9, or 9x + 9,
If 5 is taken out of the lower number, the result is 5x - 5.
The current values are 9x+9 and 5x -5. The smaller number is tripled by the larger one in the following equation:
9x + 9 = 3(5x - 5)
=> 9x + 9 = 15x -15
=> 6x = 24
=> x = 24/6
=> x = 4 
As a result, the numbers are 36 and 20, or 9x and 5x.
Hence, the correct option is 3.
 
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon