Question

The sum of two numbers is 32 and the product of half the larger and the smaller is 96. What are numbers?

Answer 1

Answer:

given x+y=32.....1st equation and

xy/2=96.....2nd equation and xy=192 and

y=192/x......3rdeq

Step-by-step explanation:

• do sobs(squaring on both sides) of eq 1 then we get x^2+y^2=640........4th eq then subtract 1st eq from 4th eq we get x+y=32 then substitute eq 3 in it then we will get a quadratic equation then like x^2-33x+192=0 then solve this qe using formula method the answer is 24,8