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 _____?

Answer: 24

Let's denote the original two-digit number as 10a + b.

Since the product of the digits is 8:

ab = 8

Possible values for a and b are (1, 8) or (2, 4).

When 18 is added to the number, the digits are reversed:

10a + b + 18 = 10b + a

Simplify the equation:

9a - 9b = -18

a - b = -2

Now, check the possible values:

For (1, 8): 1 - 8 ≠ -2 (not valid)

For (2, 4): 2 - 4 = -2 (valid)

So, the original number is 10(2) + 4 = 24.

This question appeared in Past Papers (4 times)

BISP Past Papers and Syllabus (2 times)

Divisional Public School DPS Past Papers and Syllabus (2 times)

This question appeared in Subjects (1 times)

MATHS MCQS (1 times)

Related MCQs