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Emma is 10 years old. she asked her father how old he is. her father answered, "when you are my age I will be 70." how old is Emma's father.

Respuesta :

Answer:

40

Step-by-step explanation:

Emma age: yE = 10 + x   (x is timeline)

Father age: yF = A + x (x is timeline, A is Father age today)

in time x1: Emma will be A years old, and Father will be 70 years old.

yE (x1) = 10 + x1 = A

yF (x1) = A + x1 = 70

System of equations with unknown values: x1 and A.

substract equation 1 - equation 2:

10 - A = A - 70 ⇒ 80 = 2A ⇒ A = 40

So, father is 40 years old now

abidemiokin

Emma's father is 40 years old

Let the age of Emma father be y

Age of emma = 10 years

In x years time;

  • Emma age will be 10 + x
  • Fathers age will be y + x

If in x1 years time, Emma will be y years old and his father will be 70 years old

Emma age: yE = 10 + x   (x is timeline)

  • Emma's current age will be 10 + x = y
  • His father;s current age will be y + x = 70

Solving both equations simultaneously;

10 - y = y - 70

10+70 = y + y

80 = 2y

2y = 80

y = 80/2

y = 40 years

Hence Emma's father is 40 years old

Learn more on simultaneous equations here: https://brainly.com/question/16863577

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