Question

Two natural numbers are in the ratio 3 : 5 and their
product is 2160. The smaller of the numbers is:​

Answer 1

Answer:36

Step-by-step explanation:3x*5x=2160

15x^2=2160

x^2=144

x=12

hence smallest no is=3x=3*12=36

Answer 2

Step-by-step explanation:

Given -

• Two natural number are in the ratio 3:5
• Their product is 2160

To Find -

• The smaller number ?

Solution -

Let x be the number

Then,

First number = 3x

and second number = 5x

• Product of two number = 2160

It means,

→ 3x × 5x = 2160

→ 15x² = 2160

→ x² = 144

→ x = √144

→ x = 12

Hence,

First number = 3x = 3 × 12 = 36

And

Second number = 5x = 5 × 12 = 60

Therefore,

Smaller number is 36.

Verification -

• Product of numbers = 2160

→ 36 × 60 = 2160

→ 2160 = 2160

LHS = RHS

Hence,

Verified..

It shows that our answer is absolutely correct.