Tony is 56 years younger than stacy 4 years ago stacy age was 3 times tony. How old is tony now
To find Tony's current age, we need to set up equations based on the given information.
Let's assume Tony's current age is T, and Stacy's current age is S.
According to the problem, "Tony is 56 years younger than Stacy." This can be expressed as:
T = S - 56
"4 years ago, Stacy's age was three times Tony's age." This can be expressed as:
(S - 4) = 3(T - 4)
Now, we can solve these equations to find Tony's current age.
First, substitute the value of T from the first equation into the second equation:
(S - 4) = 3((S - 56) - 4)
Simplify the equation:
S - 4 = 3(S - 60)
Expand and simplify further:
S - 4 = 3S - 180
S - 3S = -180 + 4
-2S = -176
S = (-176)/(-2)
S = 88
Now that we have Stacy's age as 88, we can substitute this value back into the first equation:
T = 88 - 56
T = 32
Therefore, Tony is currently 32 years old.
To find out how old Tony is now, we need to break down the information given in the problem.
Let's assume Tony's current age is T and Stacy's current age is S.
From the given information, Tony is 56 years younger than Stacy, which can be expressed as:
T = S - 56
Four years ago, Stacy's age was 3 times Tony's age, which can be expressed as:
(S - 4) = 3(T - 4)
Now, we have two equations:
T = S - 56 (Equation 1)
(S - 4) = 3(T - 4) (Equation 2)
Let's solve the equations to find the values of T and S:
First, substitute the value of T from Equation 1 into Equation 2:
(S - 4) = 3((S - 56) - 4)
Simplify the equation:
S - 4 = 3S - 168 - 12
S - 4 = 3S - 180
Rearrange the equation:
2S = 176
Divide both sides by 2:
S = 88
Now, substitute the value of S into Equation 1 to find T:
T = 88 - 56
T = 32
Therefore, Tony is currently 32 years old.