Question

a number on being divided by 12 and 15 successively leaves the remainder 4 and 6 respectively . find the remainder when the same number is divided by 180.?

pls tell this answer with whole process!!!!!!!!!

Answer 1

Answer:

23

Step-by-step explanation:

Let the number = N

N = 5p + 3 - Since the number when divided by 5 gives remainder of 3

In successive division, the quotient from 1st division is divided by second number.

Now p can be written as 7q + 4 since p divided by 7 gives remainder of 4

Therefore, original number can be written as :

N = 5(7q + 4) + 3

= 35q + 20 + 3

= 35q + 23

If this number is divided by 35, Remainder = 23