The Sum of Two Numbers is 1660 and The HCF is 20. Find The Two Number Number.
if the HCF of two numbers are 20.
let the numbers are 20m and 20n.
the sum of two numbers = 20m+20n
where m and n are co primes.
if m =1 n = 82
the numbers are 20*1 and 20*82 i.e. 20 and 1640.
if m = 2 , n=81
the numbers are 20*2 and 20*81 i.e. 40 and 1620.
so we can find the numbers by substituting the different values of m and n.
which satisfy the eq (1).
hope this helps you.
cheers!!