3 years ago

An equation _has one solution. O always sometimes O never

Mathematics

2 answers:

masha68 [24]3 years ago

6 0

Sometimes...............

uysha [10]3 years ago

4 0

An equation sometimes has one solution

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The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

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X = older brother
y = younger brother

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

$( \frac{2y}{3} + 8) / y +8 = \frac{3}{4}$
$(2y + 24)/3 = y + 8 = \frac{3}{4}$
$2y + 24 = 3 (y + 8) = \frac{3}{4}$
$2y + 24 = 3y + 24 = \frac{3}{4}$
$4 (2y + 24) = 3 (3y + 24)$
$8y + 96 = 9y + 72$
$y = 24$

The age of the older brother is 24.

$x = \frac{2y}{3} = \frac{2*24}{3}$
$x = \frac{48}{3}$
$x = 16$

The age of the youngest brother is 16.

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