Question

Sum of a number is 40 and their product is 364 find the numbers

Answer 1

when we will do prime factorization of 364 than it will be as

364= 2×2×7×13

now will make pair of these four numbers so when we add it than the sum will become 40

pairing

2×2=4_______(1)

7×13=91_______(2)

when we add 4 and 91 one we will get 95 which exceeds 40. so the only possible pair which can be formed is

2×7=14______(1)

13×2=26______(2)

now when we add 14 and 26 we will get 40 and when we multiply these two we will get 364. so,

14 and 26 are the respective two numbers.