1.)Mike is 5 years more than twice as old as Tom. The sum of their ages is 65. How old is Mike?
2.)Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?
30
5+2X=65
CALCULATE TI
To find the age of Mike in question 1, we can set up an equation based on the given information.
Let's assume Tom's age is x years.
According to the problem, Mike is 5 years more than twice as old as Tom.
So, the expression for Mike's age would be 2x + 5.
The sum of their ages is given as 65, so we can write the equation as:
x + (2x + 5) = 65.
Combining like terms, we get:
3x + 5 = 65.
Subtracting 5 from both sides of the equation:
3x = 60.
Dividing both sides by 3:
x = 20.
So, Tom's age is 20 years.
To find Mike's age, substitute the value of x into the expression for Mike's age:
Mike's age = 2(20) + 5 = 40 + 5 = 45.
Therefore, Mike is 45 years old.
To solve question 2, similarly we can set up an equation.
Let's assume Mousy's age is x years.
According to the problem, Mrs. Computer is 3 times older than Mousy.
So, the expression for Mrs. Computer's age would be 3x.
Since the sum of their ages is given as 52, we can write the equation as:
x + 3x = 52.
Combining like terms, we get:
4x = 52.
Dividing both sides by 4:
x = 13.
So, Mousy's age is 13 years.
Therefore, Mousy is 13 years old.