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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11
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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
Let the ones digit be y.
Since the number is of 2 -digits and is less than 20, it's tens digit must be 1.
According to condition,
2×1×y = y+1
⇒2y = y+1
⇒2y-y = 1
⇒y = 1
So, y = 1.
The number
= (10×1)+y
= 10+y
Substitute y with 1.
= 10+1
= 11
The number is 11.
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