Question

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

years old

Answer 1

hulian is 15 and Thomas is 20

Explanation:

Answer 2

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.