Tom is twice as old as Mary,but he is two years younger than Jim.What is Mary age if Jim will be twenty years old in two years time?
Jim's age: 20-2=18 years old
Tom's age: 18-2=16 years old
Mary age:16/2=8 years old
Jim's age: 20-2=18 years old
Tom's age: 18-2=16 years old
Mary age:16/2=8 years old
Tom is 2x.
Jim is 2x+2.
In 2 years:
Mary will be x+2.
Jim will be 2x+4.
2x + 4 = 20.
X = 8 = Mary's age now.
1. Jim will be twenty years old in two years time.
2. Tom is two years younger than Jim.
3. Tom is twice as old as Mary.
Step 1: Jim will be twenty years old in two years time.
If Jim will be twenty in two years, then his current age is 20 - 2 = 18 years.
Step 2: Tom is two years younger than Jim.
If Tom is two years younger than Jim, then Tom's age is 18 - 2 = 16 years.
Step 3: Tom is twice as old as Mary.
Since Tom is twice as old as Mary, we divide Tom's age by 2 to find Mary's age:
Mary's age = 16 / 2 = 8 years.
Therefore, Mary is 8 years old.
1. Let's assume Mary's age is represented by the variable "M."
2. According to the problem, Tom is twice as old as Mary, so his age can be represented as "2M."
3. Additionally, it states that Tom is two years younger than Jim. Let's assume Jim's age is represented by the variable "J."
So Tom's age would be "J - 2" because he is two years younger than Jim.
4. If we know that Jim will be twenty years old in two years time, we can represent his current age as "J - 2 years" (subtracting 2 to represent the future age).
5. Equating the two expressions for Tom's age:
2M = J - 2
6. Since we know that Jim's age will be 20 in two years, we can substitute "J" with "20 + 2" (which represents his future age).
7. Plugging it back into the equation:
2M = 20 + 2 - 2
2M = 20
8. We can divide both sides of the equation by 2 to solve for M:
M = 20 / 2
M = 10
Therefore, Mary's current age is 10 years old.