Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - General Questions (Q.No. 9)
9.
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:
Answer: Option
Explanation:
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.
(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.
Discussion:
42 comments Page 5 of 5.
Sudharshan said:
1 decade ago
Find Two digit number which is 4 times of digits sum and 2 times of digits multiplication.
Rohan said:
1 decade ago
Dear experts,
Please solve the following problem:
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and if 18 is added with the number then the digits exchanges their position. Find the number with explanation.
Here's the answer 24, but I need algebraic explanation. Thanks.
Please solve the following problem:
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and if 18 is added with the number then the digits exchanges their position. Find the number with explanation.
Here's the answer 24, but I need algebraic explanation. Thanks.
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