A trader has 3 kinds of sugar, of the first kind 117 kgs, of the second 130 kgs, and of the third 143 kgs. The least number of full casks of equal size in which this can be stored without mixing is? (IFFCO 2022)

• To solve this, let's use the relationship between the dividend, divisor, quotient, and remainder:
-Dividend = (Divisor × Quotient) + Remainder

• Let's assume:
-The smaller number is 'x'
-The larger number is 'x + 1365' (since their difference is 1365)

• Now, applying the formula:
-x + 1365 = (x × 6) + 15
-x + 1365 = 6x + 15
-1365 – 15 = 6x – x
-1350 = 5x
-x = 1350 / 5
-x = 270
Therefore, the smaller number is 270.