Question

If you walk from Sana’s house you will first reach Ramija’s house and then their school. Sana’s house is 2 km 345 m from school and Ramija’s house is 1 km 650 m from school. What is the distance between Sana and Ramija’s house?

Answer 1

- Hint: The given question is a simple algebraic subtraction. In this question we have to find the distance between Sana house and Ramija house. Also, it is given the distance between Sana’s house to their school and Ramija’s house to their school. Assume distance between Sana’s house to their school as $x=2km\text{ }345m$and distance between Ramjas house to their school as $y=1km\text{ }650m$. Before calculation change the kilometre into metre by using the conversion factor $1km\text{ = 1000 m}$.
Then subtract the distance of Ramija’s house to their school from Sana’s house to their school.

Complete step-by-step solution -
It is given from question Sana’s house from their school $x=2\text{ km 345 m}$
As $1km=1000m$ so we can write
Sana’s house from their school in the unit of length metre
 $\begin{align}
  & x=2(1000m)+\text{345 m} \\
 & x=2000m+345m \\
 & x=2345m-----(a) \\
\end{align}$
Similarly, we can find the distance of Ramija’s house to their school in unit of length metre
$\begin{align}
  & y=(1000m)+650\text{ m} \\
 & y=1000m+650m \\
 & y=1650m------(b) \\
\end{align}$
As from question it is given that Sana first reach Ramija’s house then go to their school.
Let us assume that $z$is the distance between Sana house and Ramija’s house.
So, we can write
$z=x-y-----(c)$
Now we have to subtract equation $(b)$ from equation $(a)$ we can write
$z=x-y=2345-1650$
Hence, we can write
$z=695m$
Hence the distance between Sana’s house and Ramija’s house is 695 metre.

Note: Whenever we have to subtract one number from another number, we get the value which is either a positive number or negative numbers.
When we subtract a smaller number from a larger number, the result is a positive number.
When we subtract a larger number from a smaller number, the result is a negative number.
It should be noted that when we subtract one quantity from another, the unit of both quantities must be the same.