Jay is twice as old as Sandy and 2 years younger than Mike. Mike is 7 years older than Sandy. How old is Jay?
j=2s
j=m-2
m=s+7
2s = m-2
m=2s+2
2s+2 = s+7
s = 5
so, m=12
so, j=10
Yes you are right
Let's break down the problem step-by-step:
1. Let's assume Sandy's age. We'll call it "x."
2. According to the problem, Mike is 7 years older than Sandy. So, Mike's age is (x + 7).
3. Jay is twice as old as Sandy. So, Jay's age is 2 * x.
4. Jay is also 2 years younger than Mike. So, Jay's age is (x + 7) - 2.
Now, according to the problem, Jay's age is equivalent to both 2 * x and (x + 7) - 2. Therefore, we have:
2 * x = (x + 7) - 2
Let's solve this equation to find the value of x and ultimately find Jay's age:
2x = x + 5
x = 5
Therefore, Sandy's age is 5 years old.
To find Jay's age, we substitute x back into the equation:
Jay's age = 2 * 5
Jay's age = 10
So, Jay is 10 years old.
To find Jay's age, let's start by assigning a variable to Sandy's age. Let's say Sandy's age is represented by 'x'.
Given that Mike is 7 years older than Sandy, we can express Mike's age as 'x + 7'.
According to the given information, Jay is twice as old as Sandy. So, Jay's age can be expressed as '2 * x'.
It is also mentioned that Jay is 2 years younger than Mike. So, we can represent Jay's age as 'x + 7 - 2'.
Now, we can set up an equation based on this information:
'2 * x' = 'x + 7 - 2'
To solve the equation, we'll simplify it:
2x = x + 5
Next, we'll isolate the variable:
2x - x = 5
Simplifying further:
x = 5
Sandy is 5 years old. To find Jay's age, we substitute this value into the equation for Jay's age:
Jay's age = 2 * x = 2 * 5 = 10
Therefore, Jay is 10 years old.