Question

The sum of two numbers is 156 and their hcf is 13. teh numbers of such number pairs is

Answer 1

Answer:

two pairs

13  & 143

65 & 91

Step-by-step explanation:

there are two numbers having HCF = 13

Then Lets say two numbers are

13A  & 13B

where A & B are co-prime numbers

so that HCF of  A & B = 1

Sum of two numbers = 156

=> 13A + 13B = 156

=> 13(A + B) = 156

=> A + B = 12

1 + 11 = 12

2 + 10 = 12  (but 2 & 10 are not co -prime , 2 is their HCF)

3 + 9 = 12  (but 3 & 9 are not co-prime , 3 is their HCF)

4 + 8 = 15  (but 4 & 8 are not co-prime , 4 is their HCF)

5 + 7 = 12

6 + 6 = 12   ( 6 is their HCF)

 

13  &  143

65 & 91

so two such pairs