Question

the product of two numbers is 48 and their sum is 14 find the numbers​

Answer 1

VERIFICATION:

8×6=48

8+6=14.

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Answer 2

Answer:

One no. is 8 and other is 6.

Step-by-step explanation:

Let the numbers be x and y

Given that

xy = 48 Equation 1

x+y = 14 Equation 2

Since,

x+y = 14

On both side squaring.

(x+y)² = 14²

x² + y²+2xy = 196

x² + y² + 2×48 = 196

x² + y² + 96 = 196

x² + y² = 100

( x-y)² +2xy = 100

( x-y)² +2×48 = 100

( x-y)² +96 = 100

(x-y)² = 4

x-y = √4

x-y = 2 Equation 3

Add equation 2 and 3

x+y+x-y = 16

2x = 16

x = 8

Substitute the value of x in the equation 2

x+y = 14

8+y = 14

y = 14-8

y= 6

Hence, the numbers are 8 and 6.