Question

the least number which when divided by 48 60 72 108 and 140 leaves 38 50 62 98 and 130 as remainders respectively is:

Answer 1

Answer:

Step-by-step explanation:

first find the LCM of Numbers: 48,60,72,108, 420

LCM =15120

now find if their is any similarity between difference of numbers and their respective Remainder

AS: first n0.- 48 and rem =38and difference =48-38=10

2nd n0.- 60 and rem =50 and difference =60-50= 10

and soon

common difference comes out to be 10

now subtract commom difference from LCM : LCM- Common diff.

15120-10=15110

thus answer= 15110