Question

The product of two numbers is
1323. If one number is three times
the other, the smaller number is​

Answer 1

Answer:

small number =21

big number =63

Step-by-step explanation:

Let the small number be ( x )

And big number be ( 3x )

small number × big number = 1323

x × 3x = 1323

3x² = 1323

x² = 1323/3

x² = 441

x = the squre root of 441

x = 21

Answer 2

The smaller number is 21

Given :

• The product of two numbers is 1323.

• One number is three times the other

To find :

The smaller number

Solution :

Step 1 of 2 :

Form the equation to find numbers

Here it is given that one number is three times the other

Let the numbers are N and 3N

Now the product of two numbers is 1323.

Thus we get

$\displaystyle \sf{N \times 3N = 1323 }$

Step 2 of 2 :

Find the smaller number

$\displaystyle \sf{ N \times 3N = 1323}$

$\displaystyle \sf{ \implies 3{N}^{2} = 1323}$

$\displaystyle \sf{ \implies {N}^{2} =441}$

$\displaystyle \sf{ \implies {N}^{2} = {21}^{2} }$

$\displaystyle \sf{ \implies N = 21}$

So the numbers are 21 and 63

Hence the smaller number is 21

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