Предмет: Алгебра, автор: gtbtgb4c

Сумма двух чисел ровна 35. Если одно из них увеличить в 4 раза,а другое - на 30, то сумма полученных чисел будет ровна числа 125. Найдите эти числа.

Ответы

Автор ответа: kalbim

Пусть х - первое число, у - второе. Их сумма (х+у) = 35.
Увеличим первое число в 4 раза: 4х, увеличим второе число на 30: (у+30), их сумма (4х+у+30)=125
$\left \{ {{x+y=35} \atop {4x+y+30=125}} \right.$

$\left \{ {{x+y=35} \atop {4x+y=95}} \right.$

$\left \{ {{x+y=35} \atop {3x=60}} \right.$

$\left \{ {{y=35-x} \atop {x=20}} \right.$

$\left \{ {{y=35-20=15} \atop {x=20}} \right.$

Ответ: 20 и 15

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