The sum of the digits of a two-digit number is 14 and the difference between the two digits of the number is 2. What is the product of the two digits of the two-digit number?
Correct Answer: Description for Correct answer:
Let be the ten's digit be x and unit's digit be y. The two-digit number = 10x + y (where, x > y)
According to the question,
x + y = 14 ...(i)
and x - y = 2 ...(ii)
Solving Eqs. (i) and (ii), we get
x = 8 and y = 6
Required product = \( \Large 8\times 6 \)= 48
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