Jay is as twice as old as Sandy and 2 years younger than Mike Mike is 7 years older than Sandy how old is jay?
6 years old
8 years old
10 years old
12 years old
Sandy --- x
Jay------- 2x
mike ----- 2x+2
"Mike is 7 years older than Sandy "
---> 2x+2 = x+7
x=5
check:
Sandy is 5
Jay = 10
Mike is 12
Is Mike 7 years older than Sandy? YES
I'm sorry but I don't understand that
All I did is to translate the English into Math
Let Sandy's age be x
"Jay is as twice as old as Sandy "
----> Jay's age is 2x
"Jay is 2 years younger than Mike"
---> Mike's age is 2x+2
"Mike is 7 years older than Sandy"
---> 2x+2 = x=7
What can't you see ?
Janice stacks twelve 3/4-inch thick boards how high is the stack?
What is the number sentence?
Nina has a block of wood that is 3/4 yd long. Nina will use 1/3 of it to make boxes what length of the block will she use?
A. 1/8 yd
B. 1/4 yd
C. 1/3 yd
D. 4/7 yd
To find Jay's age, we need to use the given information and solve a system of equations.
Let's assume Sandy's age is "x" years.
According to the information given, Mike is 7 years older than Sandy, so Mike's age is x + 7 years.
Jay, on the other hand, is twice as old as Sandy, so Jay's age is 2 * x years.
Also, it is mentioned that Jay is 2 years younger than Mike, so we can write the equation: Jay's age = Mike's age - 2.
Now, let's set up the equation using this information:
2 * x = (x + 7) - 2
Simplifying the equation:
2x = x + 5
Subtracting x from both sides:
x = 5
Now we know Sandy's age is 5 years old.
To find Jay's age, we substitute x = 5 into the equation:
Jay's age = 2 * 5 = 10
Therefore, Jay is 10 years old.
So, the correct answer is:
Jay is 10 years old.