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 4 of 5.

Manojit said:   1 decade ago
Product of two digit means multiple of two digit.

Suppose two digit is x, y.
Then x*y=8

y=8/x

Now two digit is x, 8/x.

Then look the above 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

Vijay said:   1 decade ago
Find the least value of * for which 7*5462 is divisible by 9?

Please answer the question.

Anwar said:   9 years ago
Why we take x and 1/8 explain?

SK.Gopinath Siva said:   1 decade ago
Let me explain the simplest way.
The way is,

Let take two digit no as x and y.

x * y = 8.
xy + 18 = yx.

//xy = 8// .

8+18 = yx.
yx = 24.

Priya said:   1 decade ago
Why 18 should be added in the option to get the answer?

Nitika said:   1 decade ago
Above you write 8+18 = 24 but 8+18 is 26 how it is to be 24?

Abc said:   1 decade ago
Only 24 is the product of 8 in this number. So answer is 24.

Krans said:   1 decade ago
Can you said in another way?

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

How it is simplified further?


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