the difference of ages of ammu and appu is 6. two times the age of appu is 8 more than the age of ammu. find their ages

Respuesta :

    We will form the system of equations as per statements given in the question, then by solving the equations we can find the ages of Ammu and Appu.

 By solving the equations, ages of Ammu and Appu will be 20 and 14 years respectively.

  • Let the age of Ammu = a years
  • And the age of Appu = b years

   Since, difference of the ages of Ammu and Appu is 6, equation will be,

a - b = 6 ------ (1)

If two times the age of Appu is 8 more than the age of Ammu, equation will be,

2b = 8 + a

2b - a = 8 ------ (2)

Add both the equations (1) and (2),

(a - b) + (2b - a) = 6 + 8

b = 14

Substitute the value of 'b' in equation (1),

a - 14 = 6

a = 20

        Therefore, ages of Ammu and Appu are 20 years and 14 years respectively.

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Ammu age is 20 and Appu age is 16, and the further calculation can be defined as follows:

Given:

Please find the question.

Let

Ammu age=x

Appu age=y

The difference in the age =6

So, the equation:

[tex]\to \bold{x-y=6}....................(i)[/tex]

Two times the age of Appu is 8 more than the age of Ammu, So the equation:  

[tex]\to \bold{2y=x+8}..............................................(ii)[/tex]

Solving the equation (i) and put the value into the equation (ii):

[tex]\to \bold{x-y=6} \\\\ \to \bold{x=6+y}[/tex]

putting the value:

[tex]\to \bold{2y=x+8}\\\\\to \bold{2y=(6+y)+8}\\\\\to \bold{2y=6+y+8}\\\\\to \bold{y=6+8}\\\\\to \bold{y=14}\\\\[/tex]

Putting the value of y into the equation (i) then:

[tex]\to \bold{x=6+14}\\\\\to \bold{x=20}[/tex]

So, the age of Ammu and Appu is "20 and 14".

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brainly.com/question/1235504