Sipho is 6 years older than Betty. in 3 years time Sipho will be twice as old as Betty. how old is Sipho now.
at present:
Betty --- x
Sipho -- x+6
3 years from now:
Betty = x+3
Sipho = x+6 + 3 = x+9
x+9 = 2(x+3)
solve for x
Sipho is 6 years older than Betty.in 3years time,sipho will be twice as old as Betty.how old is sipho now?
Sipho is 3 times as old as John 8 years from now sipho will be twice as old as John how old is john
To solve this problem, we can make use of algebraic equations. Let's represent Sipho's current age as 'S' and Betty's current age as 'B'.
We know that Sipho is 6 years older than Betty, so we can write the equation:
S = B + 6
In 3 years time, Sipho will be twice as old as Betty, so we can also write the equation:
S + 3 = 2(B + 3)
Now, we have a system of two equations:
Equation 1: S = B + 6
Equation 2: S + 3 = 2(B + 3)
We can solve this system of equations to find the values of Sipho's current age.
Substituting Equation 1 into Equation 2, we get:
(B + 6) + 3 = 2(B + 3)
B + 9 = 2B + 6
Now, subtracting B from both sides:
9 = B + 6
Subtracting 6 from both sides:
3 = B
So, Betty is currently 3 years old.
Now we can substitute this value back into Equation 1 to find Sipho's age:
S = B + 6
S = 3 + 6
S = 9
Therefore, Sipho is currently 9 years old.