Jason’s age is 1/4 of his fathers age. 28years later, Jason’s age will be 3/5 of his fathers age. How old was Jason’s father when Jason was born?
j = Jason’s present age
f = Father’s present age
j = f / 4
28 years later, Jason’s age will be j + 28 , father’s age will be f + 28
( j + 28 ) / ( f + 28 ) = 3 / 5
Replace j = f / 4 in this equation
( f / 4 + 28 ) / ( f + 28 ) = 3 ∙ ( f + 28 ) / 5
cross multiply
5 ( f / 4 + 28 ) = 3 ∙ ( f + 28 )
5 f / 4 + 5 ∙ 28 = 3 f + 3 ∙ 28
5 f / 4 + 140 = 3 f + 84
Subtract 84 to both sides
5 f / 4 + 140 - 84 = 3 f + 84 - 84
5 f / 4 + 56 = 3 f
Subtract 5 f / 4 to both sides
5 f / 4 + 56 - 5 f / 4 = 3 f - 5 f / 4
56 = 3 f - 5 f / 4
56 = 12 f / 4 - 5 f / 4
56 = 7 f / 4
56 ∙ 4 = 7 f
224 = 7 f
244 / 7 = f
32 = f
f = 32
Father’s present age = 32
j = f / 4 = 32 / 4 = 8
Jason’s present age = 8
f - j = 32 - 8 = 24
Father is 24 yrs older of Jason.
Jason’s father was 24 years old when Jason was born.
Jason is X years old.'
Jason's father is 4x years old.
28 years later:
Jason is x + 28.
Jason's father is 4x + 28.
(x + 28)/(4x + 28) = 3/5,
5(x+28) = 3(4x + 28),
5x + 140 = 12x + 84,
7x = 56,
X = 8
4x = 32,
32 - 8 = 24 yrs. = Jason's father's age when Jason was born.
(x/4+28)/(
Let's assume Jason's current age is "x" and his father's age is "4x" (since Jason's age is 1/4 of his father's age).
In 28 years, Jason's age will be "x + 28" and his father's age will be "4x + 28" (since they both are getting older).
According to the given information, Jason's age in 28 years will be 3/5 of his father's age. So, we can write the equation as:
x + 28 = (3/5)(4x + 28)
To solve this equation, we can start by simplifying:
x + 28 = (12x/5) + (84/5)
Now, let's get rid of the fractions by multiplying the entire equation by 5:
5(x + 28) = 12x + 84
5x + 140 = 12x + 84
Next, let's isolate the "x" term on one side of the equation:
5x - 12x = 84 - 140
-7x = -56
Finally, let's solve for "x" by dividing both sides of the equation by -7:
x = -56 / -7
x = 8
So, Jason's current age is 8 and his father's age is 4 times that, which means his father's age is 32.
To determine how old Jason's father was when Jason was born, we subtract Jason's age (8) from his father's age (32):
32 - 8 = 24
Therefore, Jason's father was 24 years old when Jason was born.
To find out how old Jason's father was when Jason was born, we first need to determine Jason's current age. Let's break down the information given in the problem:
1. Jason's age is 1/4 of his father's age.
Let's assume Jason's current age is J years and his father's age is F years.
Based on the given information, we can construct the equation:
J = (1/4)F ............(Equation 1)
2. 28 years later, Jason's age will be 3/5 of his father's age.
In 28 years, Jason's age will be J + 28 and his father's age will be F + 28.
Based on the given information, we can construct the equation:
J + 28 = (3/5)(F + 28) ............(Equation 2)
Now, we have two equations: Equation 1 and Equation 2. We can use these equations to solve for J and F.
First, let's solve Equation 1 for F:
J = (1/4)F
Multiply both sides by 4:
4J = F ............(Equation 3)
Now, substitute Equation 3 into Equation 2:
J + 28 = (3/5)(4J + 28)
J + 28 = (12J + 84)/5
Multiply both sides by 5 to eliminate the fraction:
5J + 140 = 12J + 84
Subtract 5J from both sides:
140 = 7J + 84
Subtract 84 from both sides:
56 = 7J
Divide both sides by 7:
J = 8
Now that we know Jason's current age is 8 years, we can substitute this value back into Equation 3 to find his father's age:
F = 4J
F = 4(8)
F = 32
So, Jason's father is currently 32 years old.
To find out how old Jason's father was when Jason was born, we need to subtract Jason's age from his father's age:
Father's age when Jason was born = Father's current age - Jason's current age
Father's age when Jason was born = 32 - 8
Father's age when Jason was born = 24
Therefore, Jason's father was 24 years old when Jason was born.