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The sum of Emma’s age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emma’s age and what is her sisters age

Respuesta :

tylerflorida34638
Emma’s age is 26 and her sister is 15 because 26 - 15 = 11 (The age that Emma is older by) and once you add 26 and 15, it equals 41

The age of Emma is 26 years and the age of her sister is 15 years and this can be determined by forming the linear equation in two variables.

Given :

  • The sum of Emma’s age and her sister's age is 41 years.
  • Emma is 11 years older than her sister.

Let the age of Emma be 'a' and the age of her sister be 'b'. So, the sum of Emma’s age and her sister's age will be:

[tex]a + b = 41[/tex]  --- (1)

The linear equation that shows Emma is 11 years older than her sister will be:

[tex]b = a+11[/tex]   --- (2)

Now, put the value of 'b' in terms of 'a' in equation (1).

a + a + 11 = 41

2a + 11 = 41

2a = 30

a = 15

Now, put the value of 'a' in equation (2).

b = 15 + 11

b = 26

So, the age of Emma is 26 years and the age of her sister is 15 years.

For more information, refer to the link given below:

https://brainly.com/question/2635551

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