The sum and difference of LCM and HCF of two numbers are 592 and 518, respectively. If the difference of the numbers is x and their sum is…

Let the L.C.M and H.C.F be x and y respectively.
x + y = 592
x - y = 518
x = 555 & y = 37
Now let the numbers be 37a and 37b
37a +37b = 296
a + b = 8
Possible pairs of co-primes, whose sum is 8 are (1, 7) & (3, 5)
Possible pair of numbers are (37×1, 37×7) = (37, 259)
and (37×3, 37×5) = (111, 185)
Now H.C.F × L.C.M. = 555 × 37 = 20535
Also 111 × 185 = 20535, while 37 × 259 ≠ 20535
Hence the required numbers are 111 and 185

Difference is 74

Ans please

74