Question

The product of two number is 1296. If one number is 16 times the other,find the numbers??

Answer 1

heya Mate here is your answer

A.T.Q.

let the number be x

2nd number = 16x

x(16x) = 1296

=> 16x² = 1296

=> x² = 1296/16 = 81

=> x = √81 = ± 9

so 2nd number = 16×9 = 144

hope it helps..

Answer 2

$\sf Given \begin{cases} & \text{Product of two numbers is 1296. } \\ & \text{One of the number is 16 times the other number. } \end{cases}$

We have to find, The numbers.

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☯ Let the other number be x

☯ Therefore, 16 times of that number is 16 × x = 16x

$\underline{\bigstar\:\boldsymbol{According\:to\: Question\::}}$

☯ Product of two number is 1296.

$:\implies\sf x \times 16x = 1296$

$:\implies\sf 16x^2 = 1296$

$:\implies\sf x^2 = \dfrac{1296}{16}$

$:\implies\sf x^2 = 81$

$:\implies\sf \sqrt{x^2} = \sqrt{81}$

$:\implies{\boxed{\sf{\purple{x = 9}}}}\;\bigstar$

Therefore, the numbers are,

• x = 9
• 16x = 16 × 9 = 144

$\therefore\;{\underline{\sf{Thus,\;the\;two\;number\;are\;9\;and\;144.}}}$

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$\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

• HCF (Highest common factor) = Highest factor present between two numbers.

• LCM (least common multiple) = Least number which is exactly divisible by two or more numbers.