Question

The product of two number is 1296 if one number is 16 times the other find the number

Answer 1

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Answer 2

Answer:

${\huge{\underline{\underline{\sf{\blue{Given:-}}}}}}$

The product of two number is 1296 if one number is 16 times the other.

${\huge{\underline{\underline{\sf{\blue{To find:-}}}}}}$

Hence,

Let one number = x

Other number = 16x

Product of numbers = 1296

i.e., x × 16x = 1296

$= > 16x ^{2} = 1296$

$= > {x}^{2} = \frac{1296}{16} = 81$

$= > x = \sqrt{81} = \sqrt{3 \times 3 \times 3 \times 3}$

$= 3 \times 3 = 9$

Therefore,

The number are 9 and 16 × 9, i.e., 9 and 144.