Question

twice a number is three more than the other. if their product is 350, What are the numbers​ the answer is 10 & 9 give me solution thankyou♡︎​

Answer 1

☆Given Question:-

Twice a number is three more than the other. if their product is 350, What are the numbers?

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☆Required Answer:-

$\sf \: ⟼Numbers \: are \: 14 \: and \: 25 \: or \: - 28 \: and \: - \dfrac{25}{2}$

☆Explanation :-

$\large\sf{Given:-}$

➭ Twice a number is three more than the other.

➭ The product of numbers is 350.

$\large\sf{To \:Find:-}$

➭ The numbers

$\large\sf{Processing:- }$

$\sf \: Let \: the \: first \: number \: be \: 'x'$

$\sf \: ⟼ \: Other \: number \: is \: 2x - 3$

$\begin{gathered}\bf\orange{According\:to\:the\:question,}\end{gathered}$

$\sf \: The \: product \: of \: numbers \: is \: 350.$

$\sf \: ⟼ \: x(2x - 3) = 350$

$\sf \: ⟼2 {x}^{2} - 3x = 350$

$\sf \: ⟼ {2x}^{2} - 3x - 350 = 0$

$\sf \: ⟼ {2x}^{2} - 28x + 25x - 350 = 0$

$\sf \: ⟼2x(x - 14) + 25(x - 14) = 0$

$\sf \: ⟼(x - 14)(2x + 25) = 0$

$\sf \: ➭x = 14 \: or \: x = - \dfrac{25}{2}$

Case :- 1

$\sf \: When \: x = 14$

$\sf \: ⟼ \: other \: number \: = 2 \times 14 - 3 = 25$

Case :- 2

$\sf \: When \: x = - \dfrac{25}{2}$

$\sf \: ⟼other \: number \: = - 2 \times \dfrac{25}{2} - 3 = - 28$

$\begin{gathered}\bf\blue{Hence} \end{gathered}$

$\large{\boxed{\boxed{\tt{{Numbers \: are \: 14 \: and \: 25 \: or \: \dfrac{ - 25}{2} \: and \: - 28 }}}}}$

Answer 2

Answer:

the product of 14 25 —28 is 350

Step-by-step explanation:

14 and 25 or—28 —28/2