Первое условие х-вес ани у- вес тани х+у=40 второе условие а-вес мани а+у=50 Третье условие к-вес вани а+к=90 Четвертое условие п-вес дани к+п=100 Пятое условие х+п=60 уравнения х+у=40 а+у=50 а+к=90 к+п=100 х+п=60 Так как вес каждого ребенка один,то в разных уравнениях он будет так же один. Тогда складываем все уравнения и получаем 2а+2у+2х+2к+2п=340 а+у+х+к+п=170 вычтем из данного уравнения уравнение а+у=50 и к+п=100 и получим тогда а+у+х+к+п=170 а+у=50 х+к+п=120 к+п=100 х=20 --вес ани тогда 1)х+у=40 20+у=40 у=40-20 у=20 ---вес тани 2)а+у=50 а+20=50 а=50-20 а=30 а-вес мани 3)а+к=90 30+к=90 к=90-30 к=60 к-вес вани 4)к+п=100 60+п=100 п=100-60 п=40 п-вес дани ПРОВЕРКА 1)таня+аня =40 20+20=40 2)таня+маня=50 20+30=50 3)маня+ваня=90 30+60=90 4)ваня+даня=100 60+40=100 5)даня+аня=60 40+20=60 ответ (аня-20 кг,таня-20 кг,маня-30 кг,ваня-60 кг,даня-40 кг)
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х-вес ани
у- вес тани
х+у=40
второе условие
а-вес мани
а+у=50
Третье условие
к-вес вани
а+к=90
Четвертое условие
п-вес дани
к+п=100
Пятое условие
х+п=60
уравнения
х+у=40
а+у=50
а+к=90
к+п=100
х+п=60
Так как вес каждого ребенка один,то в разных уравнениях он будет так же один. Тогда
складываем все уравнения и получаем
2а+2у+2х+2к+2п=340
а+у+х+к+п=170
вычтем из данного уравнения уравнение
а+у=50
и
к+п=100
и получим
тогда
а+у+х+к+п=170
а+у=50
х+к+п=120
к+п=100
х=20 --вес ани
тогда
1)х+у=40
20+у=40
у=40-20
у=20 ---вес тани
2)а+у=50
а+20=50
а=50-20
а=30
а-вес мани
3)а+к=90
30+к=90
к=90-30
к=60
к-вес вани
4)к+п=100
60+п=100
п=100-60
п=40
п-вес дани
ПРОВЕРКА
1)таня+аня =40
20+20=40
2)таня+маня=50
20+30=50
3)маня+ваня=90
30+60=90
4)ваня+даня=100
60+40=100
5)даня+аня=60
40+20=60
ответ (аня-20 кг,таня-20 кг,маня-30 кг,ваня-60 кг,даня-40 кг)