Question

In a certain city the largest office building in terms of floor space has three times the floor space as a smaller building if the total force base for these two buildings is 2720 find the floor space of each building

Answer 1

Let the floor space of the largest building is x and the floor space of the smallest building is y.

Then, given that

`x=3y\text{ (1)}`
`x+y=2720\text{ (2)}`

Substituting the value of x=3y from the equation (1) into the equation (2),

`\begin{gathered} 3y+y=2720 \\ 4y=2720 \\ y=(2720)/(4) \\ y=680 \end{gathered}`

Therefore,

`\begin{gathered} x=3*680 \\ x=2040 \end{gathered}`

Hence, the floor space of the largest building is 2040 and the floor space of smaller building is 680 .