Six years ago, Anita was \( P \) times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of \( P \)?

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

Answered by Poknoy | 2024-06-10

Ben is 11 P ​ + 6 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)
P 11 ​ = (B-6)
B = 11 P ​ + 6
Hence,
Ben is 11 P ​ + 6 old now in terms of P .
Find out more information about linear equation in two variables here
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Answered by HafsaM | 2024-06-16

Ben's current age is P 11 ​ + 6 years old in terms of P.
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Answered by HafsaM | 2024-11-03