Question

By which of the following numbers is the difference between the sum of prime numbers and the sum of the composite numbers from 41 to 50 divisible?
(1) 4 (2) 5 (3) 9 (4) 161

Answer 1

Answer:

4

Step-by-step explanation:

Given By which of the following numbers is the difference between the sum of prime numbers and the sum of the composite numbers from 41 to 50 divisible?

Now we know that prime numbers between 41 and 50 will be 43 and 47.

So 43 + 47 = 90

Also composite numbers between 41 to 50 will be  

42 + 44 + 45 + 46 + 48 + 49 = 274

So the difference will be 274 – 90 = 184

Now 184 is divisible by 4. So 184 / 4 = 46.

So 4 is the number.

Answer 2

Answer:

4

Step-by-step explanation:

prime numbers between 41 and 50 are 43,47

composite numbers between 41 and 50 are 42,44,45,46,48,49

therefore 43+47=90

42+44+45+46+48+49=274

274-90=184

184/4=46

hope it's helpful for you