Subject
Quantitative Aptitude
Topic
Number
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
ক)
24খ)
26গ)
42ঘ)
46Explanation
Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2. Sum of digits = x + (x + 2) = 2x + 2. So, (11x + 2)(2x + 2) = 144 => 22x2 + 26x - 140 = 0 => 11x2 + 13x - 70 = 0 => (x - 2)(11x + 35) = 0 => x = 2. Hence, required number = 11x + 2 = 24.Related questions
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