Question

the sum of two number is 10 and their product is 24

Answer 1

Explanation.

A+B = 10
A multiply B = 24
24 = 1 multiply 24= 2 multiply 12 = 3 multiply 8= 4 multiply 6 .
and then the answer is 4,6..

Answer 2

The complete question

The sum of the two numbers is 10 and their product is 24. Find the numbers

Answer:

The numbers are 4 and 6

Step-by-step explanation:

Given,

The sum of two numbers is 10 and their product is 24

To find,

The numbers

Solution

Let x and y be the numbers

Since the sum of numbers is 10, we have

x+y = 10 -----------------(1)

Since the product of numbers is 24, we have

xy = 24 ---------------(2)

Squaring on both sides of equation (1) we get

(x+y)² = 10²

x²+y²+2xy = 100

Substituting the value of xy we get,

x²+y²+2×24 = 100

x²+y² = 100 - 48

x²+y² = 52 ----------------(3)

Again (x-y)² = x²+y²-2xy

Substituting the value of x²+y² and xy we get

(x-y)² = 52-48 = 4

x-y = 2 -------------(4)

(1) + (4) →2x = 12

x = 6

From (4),

6 -y = 2

y = 4

∴The numbers are 4 and 6

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