Question

the sum of two numbers 1056 and there HCF 66 find the number of such pair!!!

please solve with explaination..thank you​

Answer 1

Sum is 1056 and HCF is 66

1056/66 = 16

Let the number be x and y

x + y = 16*66

9*66 + 7*66 = 16*66

The numbers are 9*66 = 594

and 7*66 = 462