Question

The product of two numbers is 814. The sum is fifty-nine.
What is the difference of these two numbers?

Answer 1

Answer: suppose,

first number=x

second number=y

according to the question....

x*y=814..............1st eq.

x+y=59------------2nd eq.

from first eq.

x*y=814

x=814/y------now on substituting the value of x=814/y in 2nd eq.

x+y=59

(814/y) +y =59

(814+y²)/y=59

814+y²=59y

y²-59y+814=0

y²-22y-37y+814=0

y(y-22)-37(y-22)=0

(y-22)(y-37)=0

....y-22=0

y=22

or y-37=0

y=37

now on putting the value of y in anyone eq.

x×y=814

x×22=814

x=814/22

x=37

so the larger number is =37

smaller number is=22

difference of these two number is = 37-22=15

Step-by-step explanation: