A two digit number is such that the product of the digit is 8 When 18 is added to the number then th...........

Quantitative Aptitude ( CCS) Number System

A two-digit number is such that the product of the digit is 8. When 18 is added to the number , then the digit are reversed. The number is :

छोटे Courses बड़े Results

Master Number System

Prepare through Micro-courses

Try Now

Explanation:

Let the ten's digit and unit digit is x and 8/x respectively,
Then, (10x + 8/x) + 18
= 10 * 8/x + x
= 10x² + 8x + 18x = 80 + x²
= 9x² + 18x - 72 = 0
= x² + 2x - 8 = 0
= (x + 4) (x - 2) = 0
= x = 2
So, ten's digit is 2
and unit digit is 4.
Hence, required number is 24.