Question

A two digit number is less than 20. The sum of the digits is double that of their product. What is the number?
(A) 12 (B) 15 (C) 13 (D) 11​

Answer 1

Answer:

D = 11

Step-by-step explanation:

Sum of 11 = 1+1 = 2

Product of 11 = 1x1 = 1

Obviously 2 is double than 1

Answer 2

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A two digit number is less than 20. The sum of the digits is double that of their product. What is the number?

(A) 12

(B) 15

(C) 13

(D) 11

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• A two digit number is less than 20.

• The sum of the digits is double that of their product.

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Let the ones digit be x.

Since the number is of 2 -digits and is less than 20, it's tens digit must be 1.

According to condition,

2×1×x = x+1

⇒2x = x+1

⇒2x-x = 1

⇒x = 1

So, x = 1.

The number

= (10×1)+1

= 10+1

= 11

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The number = 11

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷Therefore⫸}}}}}}$

The number is 11.

Correct option is (D) 11.

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