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Huilan is 6 years older than Thomas. The sum of their ages is 106. What is Thomas's age?

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1 vote

Answer: Huilan is 56 and Thomas is 50.

Explanation:

Huilan is represented by x and Thomas is represented by y...

x+y=106

x=6+y

We can use substitution since we have x by itself in the second equation. We know x is the same as 6+y, so we can substitute the x in the first equation for 6+y...

(6+y)+y=106.

Combine like terms...

6+2y=106.

Subtract 6 from both sides...

2y=100.

Divide by 2 on both sides...

y=50.

Thomas is 50.

Now that we know y, we can substitute it for 50.

x+(50)=106.

Subtract by 50 on both sides...

x=56.

Huilan is 56.

User Belwood
by
7.7k points
4 votes
Thomas is 100 ( 106 - 6 = 100 )
User Justin Greywolf
by
8.1k points

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