Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9
AI Mentor
Check Your IQ
Free Expert Demo
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.

Rakhi's mother is four times as old as Rakhi. After 5 years, her mother will be three times as old as she will be then. Find their present ages and choose the option which follows.


see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

Rakhi’s age is 20 years and her mother’s age is 40 years.

b

Rakhi’s age is 10 years and her mother’s age is 40 years.

c

Rakhi’s age is 10 years and her mother’s age is 50 years.

d

Rakhi’s age is 5 years and her mother’s age is 30 years. 

answer is A.

(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

detailed_solution_thumbnail
It is given that Rakhi’s mother is four times her daughter. And, after 5 years, Rakhi’s mother becomes 3 times as old as she was before.
Now, assume the present age of Rakhi to be x years.
As Rakhi’s mother is four times as old as Rakhi, so, present age of Rakhi’s mother will be 4x years.
Next, after 5 years, Age of Rakhi = (x+5) years
The age of Rakhi’s mother = (4x+5) years.
So, according to the condition, we can set up an equation as follows,
4x+5=3(x+5) 4x+5=3x+15
4x+5−3x=3x+15−3x −x+5=15 −x+5−5=15−5 −x=−10
−x −1 = −10 −1
x=10
So, the age of Rakhi at present is 10 years.
Then, her mother’s age will be,
4×10=40 years.
Hence, the age of Rakhi at present is 10 years and her mother’s age is 40 years.
Hence, the correct option is (1).
 
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

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 Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

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 Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring