Question

What is the smallest whole number which is divisible by 10/3, 15 and 35/2
without remainder?​

Answer 1

Step-by-step explanation:

What is the smallest number that is divisible by 15 and 35 leaves 2 as remainder in each case?

“Is divisible by” is not the same as “leaves 2 as a remainder.” I think you mean “What is the smallest positive integer that, when divided by 15 or 35 leaves 2 as remainder.”

So we are saying our number, n is expressible as

n=15x+2 and

n=35y+2

As a consequence, we can say

15x+2=35y+2

15x=35y

3x=7y

So if we set x=7 and y = 3, we’ll get an answer of

n=15∗7+2=107

And checking our result: 107/15 = 7 rem 2; 107/35 = 3 rem 2.