Question

The sum of 5 positive numbers is 45. If average of lower 3 numbers is 7. Then maximum value of the product of higher 2 numbers is

Answer 1

144 will be as u will get a+b=24 the highest product of two numbers (12,12)is possible is 144

Answer 2

The sum of 5 positive numbers is 45.

average of lower 3 numbers is 7.

sum off lower three numbers = average × numbers

3×7 = 21

sum of higher two numbers = 45 -21 = 24

it is very well known that equal number have highest product

24/2 = 12

12 + 12 = 24

12×12 = 144

we can verify it by taking example

lilke 11+ 13 = 24 , 11× 13 = 143

10+14 = 24 , 10 × 14 = 140

144 is the highest product