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Huilan is 5 years younger than Thomas. The sum of their ages is 35. What is Thomas's age?

years old

2 Answers

1 vote

Answer:

hulian is 15 and Thomas is 20

Explanation:

User Nitesh Ranjan
by
8.0k points
3 votes

Answer:

Thomas is 20 years old.

Explanation:

Let's use algebra to solve this problem.

Algebra is a branch of mathematics that deals with the manipulation of symbols, called variables, and the rules for operating on them.

For the Question:

Let x represent Thomas's age and y represents Huilan's age.

We have two pieces of information:

Huilan is 5 years younger than Thomas:

This can be expressed as:


\sf y = x - 5

The sum of their ages is 35:

This can be expressed as:


\sf x + y = 35

Now, we can substitute the value of H from the first equation into the second equation:


\sf x + (x - 5) = 35

Simplify the equation:


\sf 2x - 5 = 35

Add 5 to both sides:


\sf 2x - 5+5 = 35+5


\sf 2x= 40

Divide by 2 on both sides:


\sf (2x)/(2) = (40)/(2)


\sf x = 20

So, Thomas is 20 years old.

User Thanthu
by
8.3k points

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