Question

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

Answer 1

Given:

• Product of 2 number is 1296.
• One no. is 16 times the other.

To Find:

• The both number

Solution:

Let the 1st no. be x

then , 2nd no. will be 16×x

$\bold{\implies \: 16 \times x \times x = 1296} \\ \bold{\implies \: 16 \times {x}^{2} = 1296} \\ \bold{ \implies \: 16 {x}^{2} = 1296 }\\ \bold{ \implies \: {x}^{2} = \cancel\frac{1296}{16}} \\ \bold{\implies \: {x}^{2} = 81} \\ \bold{\implies \: x = \sqrt{81} }\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \bold { \underline{ \red{ x = 9 }}}$

Hence , the first no. is 9

2nd no. is (9×16) = 144

$\sf \huge \underline{verification}$

L.HS = R.H.S

9 × 144 = 1296

1296 = 1296

L.H.S = R.H.S

HENCE , VERIFIED

Answer 2

Answer:

Let the number be x

Other number be 16x

x × 16x = 1296

16x^2 = 1296

x^2 = 1296/16

x^2 = 81

× = root 81

x = 9

16x = 16 × 9= 144

Hope it helps you