Answer :

Anita is  17 years old now
6 years ago she was    17- 6 years  =  11 years
 thus 6 years ago Ben is    P 11 years old
therefore Ben will be     P 11 + 6 years old now

Ben is [tex]\frac{P}{11}+6[/tex] old now in terms of P .

What is linear equation?

A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. For example, 7x + 9y + 4 = 0 is a linear equation in two variables. If we consider two such linear equations, they are called simultaneous linear equations.

According to the question

Six years ago Anita was P times as old as Ben was.

Let Ben's age now be B.

Anita's age now is A.

Writing linear equation in two variables

(A-6) = P(B-6)

But A is 17 and therefore

17 - 6 = P(B - 6)

11 = P(B - 6)

[tex]\frac{11}{P}[/tex] = (B-6)

[tex]B = \frac{P}{11}+6[/tex]

Hence,

Ben is [tex]\frac{P}{11}+6[/tex] old now in terms of P .

Find out more information about linear equation in two variables here

brainly.com/question/17139602

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