# How old until Bala's father is three times older

• MHB
• Johnx1
In summary: So, 33 + 3x = 37 + x. So, 2x = 4. So, x = 2. The answer is "In 2 years time Bala's father will be three times as old as Bala."
Johnx1
Bala is 11 years old. His father is 37 years old. In how many years' time will Bala's father be three times as Bala.

Bala = B
Father = F

so,

B = 11
F = B + 26
F = 3B

=>3B = B + 26
= B = 13

So, the answer is when bala is 13 and the father is 39.However, when I did it in a different way, where I did F = 48 - B, I get a difference answer.

Is the first way how I did it mathematically correct?

Johnx said:
Bala is 11 years old. His father is 37 years old. In how many years' time will Bala's father be three times as Bala.

Johnx said:

Bala = B
Father = F
so,
B = 11
F = B + 26
F = 3B
=>3B = B + 26
= B = 13
So, the answer is when bala is 13 and the father is 39.

However, when I did it in a different way, where I did F = 48 - B, I get a difference answer.
Is the first way how I did it mathematically correct?

Yes, because the difference between the two ages is 26 no matter the value of B. So all you really need is

F = B + 26
F = 3B

=>3B = B + 26
= B = 13

Since 13 - 11 = 2 the answer to the original problem is "In 2 years time Bala's father will be three times as old as Bala."

Another method would be solving 3(11 + x) = 37 + x for x.

## 1. How do you determine Bala's father's current age?

The current age of Bala's father would need to be given or calculated using the given information in the problem.

## 2. What is the equation to solve this problem?

The equation would be: Bala's father's age + x = 3(Bala's age + x), where x represents the number of years until Bala's father is three times older than him.

## 3. How do you solve for x in the equation?

To solve for x, you would need to isolate it on one side of the equation by using algebraic operations, such as addition, subtraction, multiplication, and division. Once x is isolated, you can solve for it using basic arithmetic.

## 4. Can you provide an example to better understand the problem?

Sure, if Bala's father is currently 40 years old and Bala is currently 10 years old, we can use the equation: 40 + x = 3(10 + x). Solving for x, we get x = 10. This means that in 10 years, Bala's father will be three times older than him, as Bala will be 20 and his father will be 70.

## 5. Is there a specific mathematical concept or formula needed to solve this problem?

Yes, this problem involves using basic algebraic concepts and equations, specifically solving for unknown variables in an equation.

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