Question

Write 6 pairs of prime numbers less than 25 whose sum is divisible by 5​

Answer 1

Answer:

Solution

a. 2+3_ 5

b.2+13_5

c.7+13_20

d.3+17_20

e.11+19_30

Step-by-step explanation:

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Answer 2

The 6 pairs of prime numbers less than 25 whose sum is divisible by 5​ are (3,7), (3,17), (7,13), (7,23), (13,17), and (17,23).

Given,

Prime numbers less than 25.

To Find,

6 pairs of prime numbers less than 25 whose sum is divisible by 5.

Solution,

The method of finding 6 pairs of prime numbers less than 25 whose sum is divisible by 5 is as follows -

The prime numbers which are less than 25 are 1, 3, 5, 7, 11, 13, 17, 19, and 23.

Now we know that if a number is divisible by 5, the unit digit of that number has to be either 0 or 5.

So we have to find the pairs of primes whose sum has the unit digit 0 or 5.

Such pairs are 3+7=10, 3+17=20, 7+13=20, 7+23=30, 13+17=30, 17+23=40. Here 3, 7, 13, 17, and 23 are primes less than 25.

Hence, the 6 pairs of prime numbers less than 25 whose sum is divisible by 5​ are (3,7), (3,17), (7,13), (7,23), (13,17), and (17,23).

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