The sum of mr. brown's age& his sin's age is 38 yrs old this yr.4 yrs ago,mr. Brown was 5 times as old as his son. A. How old is his son this year? B. How old is mr. Brown this year?
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The sum of mr. brown's age& his son's age is 38 yrs old this yr.4 yrs ago,mr. Brown was 5 times as old as his son. A. How old is his son this year? B. How old is mr. Brown this year?
To solve this problem, we can set up a system of equations to represent the given information. Let's assign variables to represent Mr. Brown's age and his son's age.
Let x represent Mr. Brown's age.
Let y represent his son's age.
Based on the given information:
1. The sum of Mr. Brown's age and his son's age is 38 this year: x + y = 38. (Equation 1)
2. Four years ago, Mr. Brown was 5 times as old as his son: (x - 4) = 5(y - 4). (Equation 2)
To solve the system of equations, we will use the method of substitution.
A. To find the son's age this year (y), we can substitute the value of x from Equation 1 into Equation 2.
From Equation 1: x = 38 - y
Substituting it in Equation 2: (38 - y - 4) = 5(y - 4)
Simplifying the equation: 34 - y = 5y - 20
Rearranging the equation: 6y = 54
Dividing both sides by 6: y = 9
Therefore, the son is 9 years old this year.
B. To find Mr. Brown's age this year (x), we can substitute the value of y into Equation 1.
From Equation 1: x + y = 38
Substituting y = 9: x + 9 = 38
Subtracting 9 from both sides: x = 38 - 9
Therefore, Mr. Brown is 29 years old this year.