Question

The product of two numbers is 24 their sum is 14 find the number

Answer 1

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Step-by-step explanation:

Let the number be x and y

So,

x x y = 24(1st equation)

and,

x + y = 14

x = 14 - y (2nd eqn)

than,

( 14 - y) y = 24

14y - y² = 24

y²-14y + 24 = 0

y²-12y - 2y + 24 = 0

y(y-12) 2(y - 12) = 0

(y-2)(y- 12) = 0

y = 2, 12

and,

put value of y in 1st or 2nd eqn to find x

or

Answer: They are 6 and 8. 8 & 6 are the no. The numbers are 6 & 8, whose LCM is 24 and sum is 14. The numbers are 6 and 8.