AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is Four-third the present age of Lakhan, then what is the present age of Lakhan? (in years)

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

26 year

24 year

28 year

32 year

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let Avish's present age= s
and lakhan's present age= t
Given,
14 years ago, Avish’s age = s - 14
14 years ago, Lakhan’s age = t – 14

∴

According to questions,

(s - 14) + (t - 14) = \frac{s + t}{3}

\Rightarrow s - 14 + t - 14 = \frac{s + t}{3}

\Rightarrow s + t - 28 = \frac{s + t}{3}

\Rightarrow 3 s + 3 t - (28 \times 3) = s + t

\Rightarrow 3 s + 3 t - 84 = s + t

\Rightarrow 2 s + 3 t - s - t = 84

\Rightarrow 2 (s + t) = 84

\Rightarrow s + t = 42 \dots \dots \dots \dots \dots \dots \dots . . (1)

Now,
Avish's present age =

\frac{4}{3}

of lakhan's present age

\Rightarrow s = \frac{4}{3} t \dots \dots \dots \dots \dots \dots \dots \dots \dots . (2)

Put equation (2) in equation (1)

\Rightarrow s + t = 42

\Rightarrow \frac{4}{3} t + t = 42

\Rightarrow \frac{4 t + 3 t}{3} = 42

\Rightarrow 7 t = (42 \times 3) = 126

\Rightarrow t = 126 / 7 = 18

∴ lakhan's present age = t = 18 years
and Avish's present age

= s = \frac{4}{3} t

= \frac{4}{3} \times 18

= 24 years

Correct option is 2.

Watch 3-min video & get full concept clarity

courses

No courses found

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!