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sashaice [31]
4 years ago
6

La edad de 4 miembros de una familia suman 70. Mamá es 6 veces más grande que su hijo y 10 veces más grande que su hija. Papá es

2 años más grande que mamá. ¿Qué edad tienen cada uno de los miembros de la familia? Escribe el resultado en orden ascendente y separados por un espacios
explicación por favor
Mathematics
1 answer:
3241004551 [841]4 years ago
4 0

Answer:

3  5  30  32

Step-by-step explanation:

The question in English is

The age of 4 members of a family adds up to 70. Mom is 6 times bigger than her son and 10 times bigger than her daughter. Dad is 2 years older than Mom. How old are each of the family members? Write the result in ascending order and separated by spaces

Let

x----> Mon's age

y----> Son's age

z----> Daughter's age

w---> Dad's age

we know that

x+y+z+w=70 -----> equation A

x=6y ----> y=x/6 -----> equation B

x=10z ----> z=x/10 -----> equation C

w=2+x -----> equation D

substitute equation B, C and D in equation A and solve for x

x+(x/6)+(x/10)+(2+x)=70

Multiply by 60 both sides

60x+10x+6x+120+60x=4,200

136x=4,200-120

x=4,080/136

x=30 years

Find the value of y

y=x/6 -----> y=30/6=5 years

Find the value of z

z=x/10 ----> z=30/10=3 years

Find the value of w

w=2+x ----> w=2+30=32 years

Write the result in ascending order and separated by spaces

3  5  30  32

so

Daughter  Son  Mon  Dad

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