Tom is 12 years older then sonny. In five years will Tom be twice his age then what Sonny was 4 years ago.
How old are they?
Thanksnfor the help if ther is any 😅😘
Let's use letters. For Tom, we will use T. For Sonny, we will use S. The word is means equals. Older than means plus.
$\displaystyle \begin{matrix}\text{Tom} & \text{is} & 12\text{ years} & \text{older than} & \text{Sonny} \\ T & = & 12 & + & S\end{matrix}$
$\displaystyle \begin{matrix}\text{In five years will} & \text{Tom} & \text{be} & \text{twice} & \text{the age than what} & \text{Sonny was 4 years ago} \\ \text{(5 +} & T\text{)} & = & 2\times & ( & S-4\text{)}\end{matrix}$
This gives two equations:
$\displaystyle T=12+S$
$\displaystyle (5+T) = 2(S-4)$
Do you know how to solve a system of two equations?
Have a look here:
Two equations in two unknowns - Math Central
When I was a teacher I discouraged language like that. You are really using "T" to represent Tom's age, not to represent "Tom". The same for "S". As we see at the end, "T" and "S" are numbers, not people!
The word is means equals. Older than means plus.
$\displaystyle \begin{matrix}\text{Tom} & \text{is} & 12\text{ years} & \text{older than} & \text{Sonny} \\ T & = & 12 & + & S\end{matrix}$
$\displaystyle \begin{matrix}\text{In five years will} & \text{Tom} & \text{be} & \text{twice} & \text{the age than what} & \text{Sonny was 4 years ago} \\ \text{(5 +} & T\text{)} & = & 2\times & ( & S-4\text{)}\end{matrix}$
This gives two equations:
$\displaystyle T=12+S$
$\displaystyle (5+T) = 2(S-4)$
Do you know how to solve a system of two equations?