In a two-digit number, the digit at the units place exceeds the digit at the tens place by 2, and the product of the given number and the sum of its digits is 280. Find the number.
A24
B46
C35 ✓ Correct
D53
Correct answer: (C) 35
Explanation
The number is 35.
Let tens = t, units = t + 2; number = 11t + 2.
Digit sum = 2t + 2.
(11t + 2)(2t + 2) = 280.
t = 3 gives 35 x 8 = 280, so number = 35.
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