The sum of two numbers is 232 and their H.C.F is 29. How many pairs of such numbers are
Select the correct option:  A) 1  B) 2  C) 0  D) 3  E) None of these
Explanation:   HCF of two numbers = 29   Let the numbers = 29x, 29y   x and y are prime to each other   According to the question,   29x + 29y = 232, 29(x+y) = 232, x + y = 8,   Possible pairs of x and y = (1,7) and (3,5)   numbers are = (29, 203) and (87,145)   Answer: Option 2
<result>B</result>
The sum of two numbers is 232 and their H.C.F is 29. How many pairs of such numbers are