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:
43 comments Page 4 of 5.

Sunny said:   1 decade ago
Why didn't you take 8x, 1/x and solve the problem?

Banty kumar.biet davangere said:   1 decade ago
xy=8,xy+18=yx;
put xy=8 than
8+18=24
so,
xy=24 ans

May said:   1 decade ago
Oh. You great and feeling in so easy. Thanks you.

Mahesh said:   9 years ago
Could anyone please provide the shortcut method?

Naina said:   8 years ago
Hi @Gopinath.

How 8+18 = 24?

I think its 26.

Ayesha said:   10 years ago
9x2+18x-72.

How it is simplified further?

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

Sam said:   9 years ago
Can anyone explain it in another way?
(1)

Bgnr said:   9 years ago
What is unit, ten digit and product.

Jason said:   6 years ago
I am not understanding this answer.
(2)


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