Question

The least number such that when divided by 15 25 35 and 45 it leaves remainder 7 17 27 and 37 respectively is

Answer 1

Explanation:

Step 1: Find the LCM (Least Common Denominator) of all the divisors.

LCM (15,25,35,45) = 3 * 3 * 5 * 5 * 7 = 1575

Step 2: Difference between the divisor and the remainder

15 - 7 = 8 or 25 - 17 = 8

Difference is 8 in each case

Step 3: Subtract the difference between the divisor and the remainder from the LCM of all the divisors

Subtract 8 from 1575
1575 - 8 = 1567

Answer: 1567