the present age of jack's is three times that of jack. after 5 years, sum of their ages would be 70 years. find their present ages
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Jack is X years old.
Jack's ___ is 3x years old.
5 years later:
(x+5) + (3x+5) = 70.
X =
3x =
Let's solve this problem step by step:
1. Let's say the present age of Jack is J years.
2. According to the problem, the present age of Jack's father is three times that of Jack. So, Jack's father's age would be 3J years.
3. After 5 years, Jack will be J + 5 years old, and Jack's father will be 3J + 5 years old.
4. The problem states that the sum of their ages after 5 years would be 70 years. So, we can write the equation: (J + 5) + (3J + 5) = 70.
5. Simplifying the equation, we get: 4J + 10 = 70.
6. Subtracting 10 from both sides, we have: 4J = 60.
7. Dividing both sides by 4, we get: J = 15.
Therefore, Jack's present age is 15 years, and Jack's father's present age is 3J = 3 * 15 = 45 years.