# Find the least number when divided by 12 ,leaves a remainder of 7,when divided 15 ,leaves a remainder of 10 and when divided by 16 leaves a remainder of 11. pls answer fast friends. atleast give steps

2
by mssrinidhi

2015-03-30T22:06:58+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
When divided by 12 ,leaves a remainder of 7
difference = 12 - 7 = 5
when divided by 15 ,leaves a remainder of 10
difference = 15 - 10 = 5
when divided by 16 ,leaves a remainder of 11
difference = 16 - 11 = 5

LCM(12,15,16) = 240
so required number is 240 - 5 = 235
thanks a lot
2015-03-31T15:02:24+05:30
First 12 leaves,remainder 7.So simple.12-7=5
it is the difference.
Then,
15 leaves,remainder of 10.
Again subtract it,15-10=5(5=difference)
16-11=5