After three years, a man’s age will be five times his son’s age. If the man's current age is represented by 'x' and his son's current age by 'y', which of the following represents the given statement?

x - 5y = 12

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5x - y = -12

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x = 5y

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x + 3 = 5y

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Solution

The correct option is A x - 5y = 12
After three years,
Man's age = $(x + 3)$ years
Son's age = $(y + 3)$ years

According to the question, we have
$x + 3 = 5 (y + 3)$
$\Rightarrow x + 3 = 5 y + 15$
$\Rightarrow x - 5 y = 12$
$∴ x - 5 y = 12$ is the linear equation in two variables.

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After three years, a man’s age will be five times his son’s age. If the man's current age is represented by 'x' and his son's current age by 'y', which of the following represents the given statement?

The correct option is A x - 5y = 12After three years, Man's age = (x+3) years Son's age = (y+3) years According to the question, we have x+3=5(y+3) ⇒x+3=5y+15 ⇒x−5y=12 ∴x−5y=12 is the linear equation in two variables.

The correct option is A x - 5y = 12
After three years,
Man's age = $(x + 3)$ years
Son's age = $(y + 3)$ years

According to the question, we have
$x + 3 = 5 (y + 3)$
$\Rightarrow x + 3 = 5 y + 15$
$\Rightarrow x - 5 y = 12$
$∴ x - 5 y = 12$ is the linear equation in two variables.