Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Two natural numbers differ by 3 and their product is 504. The numbers are [[1]] and [[2]].

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

answer is 21, 24.

(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

Two natural numbers differ by 3 and their product is 504. The numbers are 21 and 24.
Given that difference between two natural numbers

= 3

and product of the natural numbers= 504.
Let’s assume that the two natural numbers are

m

and

m + 3

.
According to the given condition,

m (m + 3) = 504

⟹ m^{2} + 3 m = 504

⟹ m^{2} + 3 m - 504 = 0

⟹ m^{2} + 24 m - 21 m - 504 = 0

⟹ m (m + 24) - 21 (m + 24) = 0

⟹ (m - 21) (m + 24) = 0

⟹ m - 21 = 0 or m + 24 = 0

∴ m = 21 or m = - 24

Therefore,

m = 21

.
And

m + 3 = 21 + 3

\Rightarrow m + 3 = 24

Thus, the two natural numbers are 21 and 24.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE