Question

- An orchard owner picked some
oranges and tried to put those into
three types boxes of capacity of 32,
40 and 72 respectively. As he tried
different boxes he found remainders
of 10, 18 and 50 respectively. What
is the minimum number of oranges
he would have collected ?​

Answer 1

oranges in each box is-

(32+10), (40+18), (72+50)

that is 42,58,122

In order to find minimum no. of oranges we need to find HCF of 42,58,122.

HCF=61

Therefore, minimum no. of oranges is 61.ans...