Question

the product of 2 numbers is 7260 . if 1 number is 15 times the other number . find the numbers

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Answer 1

$\huge \mathfrak \red { \underline {Hey Army}}$

The product of two numbers is 7260. If one number is 15 times the other number, find the numbers.

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ANSWER

It is given that

Product of two numbers =7260

Consider one number = x

Second number = 15x

It can be written as

15x * x=7260

15x ² =7260

By further calculation

x ² = $\frac{7260}{15}$

= 484

x= $\sqrt{484}$

= √2×2×11×11

So we get

= 2 × 11

= 22

Here,

One number = 22

Second number = 22 × 15 = 330

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I hope my answer is helpful for you...

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Answer 2

Let the first number be x.

As the second number is 15 times the first number,

the second number is 15x.  

Their product = 7260

According to condition,

15x × x = 7260

or, 15x² = 7260

or, x² = 7260/15

or, x² = 484

or, x = √484

or, x = √2×2×11×11

or, x = 2 × 11

or, x = 22

So, the first number = x = 22

and the second number = 15x = 15 × 22 = 330

Hence, the numbers are 22 and 330.