Answer :
Sean's age is 4 years and his brother's age is 11 years.
Linear Equations in Two Variables: It is an equation written in the form ax+by +c=0. a, b, and c are real values, whereas x and y are variables. We can say that a and b are not equal to zero. Linear equations are solved when the same number is added to both sides, as well as when both sides are multiplied and divided by the same amount. Linear equations with two variables are denoted by x and y.
Let Sean's age be y years.
Let Sean's brother's age be x years.
Sean is three more than twice as old as brother.
∴ y = 2x + 3 -- (1)
Also, the total of their ages is 15.
∴ x+y = 15
⇒ y = 15 -x -- (2)
Substitute y from equation (2) in equation (1)
⇒ 2x + 3 = 15 - x
⇒ 3x = 12
∴ x = 4
Put x in equation (2)
⇒ y = 15- 4
∴ y = 11
Thus, Sean's age is 4 years and his brother's age is 11 years.
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