Mathematics: One natural number is 18 bigger than another. if their product is 403, what are the numbers?

One natural number is 18 bigger than another.

Ответ:

YSGabino6019

26.05.2020

N - first number
n + 18 - second number

$n(n+18)=403\\\\n^2+18n=403\\\\(n^2+18n+81)-81=403\\\\(n+9)^2-81-403=0\\\\
(n+9)^2-484=0\\\\(n+9)^2-22^2=0\\\\(n+9-22)(n+9+22)=0\\\\(n-13)(n+31)=0\\\\\\n-13=0\qquad\vee\qquad n+31=0\\\\\boxed{n=13\in\mathbb{N}}\qquad\vee\qquad n=-31\not\in\mathbb{N}$

The numbers are 13 and 13+18 = 31

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Ответ:

cj9508

12.06.2022

Mathematics

The Gcf for 33 x 3 = 99 and 18 × 6 = 108

The Gcf is 9

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One natural number is 18 bigger than another. if their product is 403, what are the numbers?

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