Question

if the sum of two nutural no is 8 and their product is 5 then find the number​

Answer 1

Your question is wrong.

Correct Question:

If the sum of two natural numbers is 8 and the product is 15, then find numbers.

Answer:

• Let the first natural number be x.
• Sum of two natural numbers is 8 then other natural numbers will be 8 – x.
• According to question.

Product of both natural numbers = x (8 – x) = 15

$8x - {x}^{2} = 15$

${x}^{2} - 8x + 15 = 0$

${x}^{2} - (5 + 3)x + 15 = 0$

${x}^{2} - 5x - 3x + 15 = 0$

$( {x}^{2} - 5x) - ( 3x - 15) = 0$

$x(x - 5) - 3(x - 5)$

$(x - 5)(x - 3) = 0$

$x - 5 = 0 \: or \: x - 3 = 0$

$x = 5 \: or \: x = 3$

First number = 5

second number= 3