Question

the sum of two numbers is 90, their product is 729, their difference is 72, and their quotient is 9

Answer 1

Let the number be x and y;

Sum of two numbers;

⇒x+y=90;           ......(1)

Product

⇒x*y=729           .....(2)  

Difference

⇒x-y=72             ......(3)

Quotient

⇒x/y=9                ......(4)

Taking eq.(1) & eq.(3) ;

Solve simulatneouly;

x+y=90

x-y=72

⇒2x=162

⇒x=162/2=81

x=81

Then put x in any equ. and you get y;

x+y=90

81+y=90

y=90-81;

y=9.