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vladimir1956 [14]
3 years ago
12

La suma de las edades de una madre y de su hijo son 56 años. Hace 10 años, la edad de la madre era el quíntuple de la edad que t

enía el hijo. ¿Cuál es la edad actual de cada uno?
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

The mother is 40 years old and the son is 16 years old.

Step-by-step explanation:

With a system of equations mentioned in the statement the answer can be reached, we have to:

Let X be the age of the mother, Y the age of the son.

X + Y = 56 (1)

X-10 = 5 * (Y-10) (2)

Solving

 X -10 = 5 * Y - 50

From where:

X = 5 * Y - 40

Substituting in the first equation:

5 * Y - 40 + Y = 56

6 * Y = 56 + 40

Y = 96/6 = 16

Now, replacing the value of Y:

X = 5 * 16 - 40

X = 80 -40

X = 40

Therefore the mother is 40 years old and the son is 16 years old.

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