The sum of digits of a two-digit number is 14 and the difference between the two digits of the number is 2. The product of the two digits of the number is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 48
Calling the larger digit \(a\) and the smaller \(b\), the question gives their sum and their difference; adding the two equations cancels \(b\).
\(a+b=14\) (1)
\(a-b=2\) (2)
Adding (1) and (2): \(2a=16\), so \(a=8\) and \(b=6\)
Product of the digits \(=8\times6=48\)
The number is 86 or 68; either way the product is the same. The figure 86 in Option (1) is the number itself, not the product of its digits.