Question

The sum of two numbers is 121 and the difference is 27. What are the two
numbers?​

Answer 1

The two number are 74 and 47

Explanation:

Let the numbers be x and y

x+y=121 and x-y=27

Add the two equation to each other it will be

x+x=2x, y+-y=0, 121+27=148

2x=148 divide both sides by 2

x=74

Then substitute x with 74 in any of the equations lets say

74+y=121 so y=47

Answer 2

Problem 6: The product of two consecutive odd integers is equal to 675. Find the two integers.

Let x, x + 2 be the two integers. Their product is equak to 144

x (x + 2) = 675

Expand to obtain a quadratic equation.

x 2 + 2 x - 675 = 0

Solve for x to obtain two solutions

x = 25 or x = -27

if x = 25 then x + 2 = 27

if x = -27 then x + 2 = -25

We have two solutions. The two numbers are either

25 and 27

or

-27 and -25

Check that in both cases the product is equal to 675.

not sure

Explanation: