Question

find the smallest number which leaves remainder 8,20 when divided by 34 and 46.

Answer 1

divisor is 34 and remainder is 8. Difference is 26 (34-8)

divisor is 46 and remainder is 20. Difference is 26 (46-20)

You can see that the difference is 26 in both the cases.

Answer Would be:

LCM of divisors - difference ,OR, LCM (34, 46) - 26 = 782 - 26 = 756.
@ARPzh...

Answer 2

-----Subtract the remainders from the given numbers:
34-8 = 26
46 -20 = 26
Both of them give 26
------ LCM of 34 and 46
34 = 2 × 17
46 = 2 × 23
LCM =  2 ×17 x 23 = 782
--- Smallest no: = LCM -26 = 782-26=756