Express each of the following numbers as the sum of three odd primes
(a) 21   (b) 31   (c) 53   (d) 61

Solution:

We will be using the concepts of odd numbers and prime numbers to solve this.

(a) 21 can be expressed as 3 + 5 + 13 (3, 5 and 13 are odd primes)
(b) 31 can be expressed as 5 + 7 + 19 (5, 7 and 1 are odd primes)
(c) 53 can be expressed as 13 + 17 + 23 (13, 17 and 23 are odd primes)
(d) 61 can be expressed as 11 + 13 + 37 (11, 13 and 37 are odd primes)

NCERT Solutions Class 6 Maths Chapter 2 Exercise 3.2 Question 10

Express each of the following numbers as the sum of three odd primes. (a) 21 (b) 31 (c) 53 (d) 61

Summary:

(a) 21 can be expressed as the sum of 3, 5, and 13 which are are odd primes numbers. (b) 31 can be expressed as the sum of 5, 7, and 19 which are odd prime numbers. (c) 53 can be expressed as the sum of 13, 17, and 23 which are odd prime numbers. (d) 61 can be expressed as the sum of 11, 13, and 37 which are odd prime numbers

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