Question

Huilan is 8 years older than Thomas. The sum of their ages is 80. What is Thomas's age?

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\texttt {\:Thomas's age = 44 years }`

`\texttt {\:Hulian's age = 36 years }`

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`\large \tt Solution \: :`

`\textsf{Assume Thomas's age be ' x ' }`

`\textsf{and that of Huilan's age be y }`

`\texttt{we have two conditions :}`

`\qquad \tt \rightarrow \:y = x + 8`

it can be simplified as : -

`\qquad \tt \rightarrow \:y - x= 8 \: \: \: \: \: \: \: \: \: - (1)`

`\texttt{Next condition }`

`\qquad \tt \rightarrow \:x + y = 80 \: \: \: \: \: \: \: - (2)`

`` Add both equations ``

`\qquad \tt \rightarrow \:y - x + x + y = 8 + 80`

`\qquad \tt \rightarrow \:2y = 88`

`\qquad \tt \rightarrow \:y = 44`

`\large \textsf{For x :}`

`\qquad \tt \rightarrow \:y - x = 8`

`\qquad \tt \rightarrow \:44 - x = 8`

`\qquad \tt \rightarrow \:x = 44 - 8`

`\qquad \tt \rightarrow \:x = 36`

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer 2

`\fbox {36 years old}`

Explanation:

Let :

⇒ Age of Huilan = x

⇒ Age of Thomas = x - 8

Then :

⇒ x + x - 8 = 80

⇒ 2x = 88

⇒ x = 44

Thomas's age :

⇒ x - 8

⇒ 44 - 8

⇒ 36 years old