Question

The largest numbet which divides 70 and 125 leaving remainders 5 and 8 respectively is *

Answer 1

(a) Since, 5 and 8 are the remainders of 70 and 125, respectively. Thus, after subtracting these remainders from the numbers, we have the numbers 65 = (70-5), 117 = (125 – 8), which is divisible by the required number. Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 amnd 8.