Предмет: Математика, автор: slickpeak43

среднее арифметическое двух чисел 110,5. Если большее число разделить на меньшее, то в частном получится 11, а в остатке 5.Найти эти числа используя систему уравнений

Ответы

Автор ответа: TomasSmZRs

Пошаговое объяснение:

Пускай x будет меньшим числом, а y — бóльшим.

$\left \{ {{\frac{x+y}{2} =110,5} \atop {11x+5=y}} \right. \\\left \{ {{x+y=221} \atop {11x-y=-5}} \right. \\\\x+11x=221-5\\12x=216\\x = 18\\\\18+y=221\\y=203$

Ответ:

Эти числа равны 18 и 203.

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