Answer :

Answer:

Pete is 5

Step-by-step explanation:

Let Pete's age be x

Therefore Masha is 3x

since their age difference is 10,

3x - x = 10

2x = 10

x = 5

check:

3x = 15

x = 5

15 - 5 = 10

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Rewritten by : Barada

By setting up an equation where Pete's age is P and Masha's is 3P, then subtracting P from 3P and equating it to 10 years, we solve for P and find that Pete is 5 years old.

The question presents us with a simple algebra problem to solve for Pete's age. Since Masha is three times as old as Pete, let us represent Pete's age as P. Masha's age will then be 3P. According to the information provided, the difference in their ages is 10 years. Therefore, we can write the following equation to represent their age difference:

3P - P = 10

Solving for Pete's age (P):

  1. 3P - P = 10 simplifies to 2P = 10.
  2. Now, divide both sides by 2 to isolate P: 2P / 2 = 10 / 2.
  3. This yields P = 5.

So, Pete is 5 years old.