Question

46) What is the number, which when
divided by 8,12 and 15 lives a
remainder 3 in each case? *​

Answer 1

Answer:

First take the L.C.M (lowest common multiple) of 8, 12 and 15

That is 120

So, now 120 is a number which is divisible by 8, 12 and 15

Now add 3 to 120

Therefore, the answer is 120+3=123

We have added 3 because we want 3 as a reminder in all 3 cases.

In this way we can add 120 in 123 again and again to get many different answers such as -

123 + 120 = 243

243 + 120 = 363

363 + 120 = 483

483 + 120 = 503

and so on ………..

Also we can say that the answer is in the form of (120n + 3), where n is a natural number.

Answer 2

123

Step-by-step explanation:

take LCM of 8,12,15

then we get LCM is 120

then after add 3 in 120=123

hence,

we divide the 123 by 8,12,15to get remainder 3.