Question

Product of two numbers is 162. If the greater number is 2 times the smaller number, what is the greater number?
a) 9
b) 15
c) 18
d) 21​

Answer 1

Option C) 18

I hope it's right

Answer 2

Answer :-

• Option c) is correct.

• The greater number is 18.

To find :-

• The greater number.

Solution :-

• It is given that the greater number is 2 times the smaller number and their product is 162. We have to find the greater number.

Let :-

• The smaller number be "x".

Then :-

• The greater number will be "2x", as it's 2 times the smaller number.

Now :-

• Their product is 162.

Therefore,

$\implies\rm x \times 2x = 162$

$\rm \implies {2x}^{2} = 162$

$\rm \implies {x}^{2} = \dfrac{162}{2}$

$\rm\implies {x}^{2} = 81$

$\rm \implies x = \sqrt{81}$

$\implies \underline{ \boxed{\rm x = 9}}$

Now :-

• The smaller number is 9.

Thus :-

$\sf The \: greater \: number = 2x = 2 \times 9 = 18.$

Hence :-

• Option c) is correct.

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