Question

Amitabh is \[1m\text{ }82cm\] tall and his wife is \[35\text{ }cm\] shorter than him. What is his wife’s height?

Answer 1

Hint: One of two has their height given and the other’s height is related to the first one, if we subtract the length of shortness by the height of the first one we get the height of the second one. Hence, the formula used here to find the wife (second one)’s height is:
\[\text{Lengt}{{\text{h}}_{Amitabh}}-\text{Lengt}{{\text{h}}_{\text{Shortness}}}\]
where \[\text{Lengt}{{\text{h}}_{Amitabh}}\] is the height of Amitabh in centimeters or meters and \[\text{Lengt}{{\text{h}}_{\text{Shortness}}}\] is the shortness length measurement in centimeters.

Complete step-by-step answer:
Now placing the values of both the lengths (converting all dimensions into centimeters) in the formula we get:
\[\text{Lengt}{{\text{h}}_{Amitabh}}-\text{Lengt}{{\text{h}}_{\text{Shortness}}}\]
\[\text{Lengt}{{\text{h}}_{Amitabh}}=182cm\\ \text{Lengt}{{\text{h}}_{\text{Shortness}}}=35\text{ }cm\].
Subtracting the difference of height from the length of amitabh, we get the height of amitabh’s wife.
\[=182-\text{35}\]
\[=147\text{ }cm\]

Hence, the height of the wife in centimeters is \[147\text{ }cm\] and in meter and centimeter is \[1m\text{ }47cm\].

Note: The only place where we may go wrong is when placing dimensions for the height either convert all the dimensions to centimeters or meter-centimeters (when exceeding hundred) to avoid any dimensional errors. Before substituting the values we must make sure that the dimensions are in the same units.
1km = 1000m 1m = 100cm 1cm = 10mm