Out of 3 natural numbers if the average of 2 numbers is added to the third number then 24, 20, 18 are obtained. Find out the natural numbers.
Answer & explanation
Correct answer: option 2
a + \(\frac{b + c}{2}\) = 24
b + \(\frac{c + a}{2}\) = 20
c + \(\frac{b + a}{2}\) = 18
By solving →
= 2a + b + c = 48
= 2b + c + a = 40
= 2c + b + c = 36
By adding →
4 (a + b + c) = 124
a + b + c = 31
Now →
a = 48 - 31 = 17
b = 40 - 31 = 9
c = 36 - 31 = 5