The sum of two numbers is 342 and their HCF is 19. How many pairs of such numbers can be formed?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3.
Given:
Sum of two numbers is 342 and their HCF is 19.
Calculations:
Let 1st number be 19x and 2nd number be 19b
According to the question
19x + 19y = 342
x + y = 18
The required pairs are (1, 17), (5, 13), (7, 11)
Therefore, total number of pairs are 3.