Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 5)
5.
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
18
24
42
81
Answer: Option
Explanation:

Let the ten's and unit digit be x and 8 respectively.
x

Then, 10x + 8 + 18 = 10 x 8 + x
x x

10x2 + 8 + 18x = 80 + x2

9x2 + 18x - 72 = 0

x2 + 2x - 8 = 0

(x + 4)(x - 2) = 0

x = 2.

Discussion:
42 comments Page 5 of 5.

Ishu said:   4 years ago
Possibilities of getting a product 8 is 24 or 42.
If 18 is added to 42, it gives 60 --> the reversing condition is not met.
Else if you add 18 to 24 --> 18+24 = 42, the reverse of 24.
Hence the answer is 24.
(84)

Manav Pawar said:   3 years ago
Anyone, please explain this to get it.
(5)


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