Question

A man is x years old now. In 10 years' time, he will be twice as old as he was 5 years ago. low old will he be in 10 years time? (3 marks) ​

Answer 1

Answer: In ten years time he will be 30

Step-by-step explanation:
1. The man's current age is x years old.
2. In 10 years' time, the man's age will be x + 10 years.
3. 5 years ago, the man's age was x - 5 years.
4. According to the problem, in 10 years' time, the man will be twice as old as he was 5 years ago. So, we can set up an equation: x + 10 = 2(x - 5). 5. Now, let's solve this equation to find the value of x. 6. Expanding the equation, we get x + 10 = 2x - 10. 7. Combining like terms, we have x - 2x = -10 - 10, which simplifies to -x = -20. 8. Dividing both sides of the equation by -1, we get x = 20. 9. Therefore, the man is currently 20 years old. 10. In 10 years' time, the man's age will be 20 + 10 = 30 years. So, the man will be 30 years old in 10 years' time.

Answer 2

Hello!

Answer:

`\Large \boxed{\sf 30~years~ old}`

Explanation:

→ We want the age of the man in 10 years time.

→ We know:

In 10 years, he will be x + 10 years old.

5 years ago, he was x - 5 years old.

→ Therefore, we have this equation:

`\sf x + 10 = 2(x - 5)`

→ To calculate the age of the man, let's solve this equation:

◼ Simplify the right side:

`\sf x + 10 = 2x - 10`

◼ Add 10 to both sides:

`\sf x + 10 +10= 2x - 10+10`

◼ Simplify both sides:

`\sf x +20= 2x`

◼ Subtract x from both sides:

`\sf x +20-x= 2x-x`

◼ Simplify both sides:

`\boxed{\sf x = 20}`

→ So, now the man has 20 years old.

→ We want the age of the man in 10 years old time, so:

`\sf 20 + 10 =\boxed{ \sf30}`

Conclusion:

The age of the men in 10 years old time is 30 years old.