Question

Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?

Answer 1

Answer:

44 and 66

Step-by-step explanation:

Let the first part be x and let the other be 150% of x, which is 1.5 x

or, x + 1.5x = 110

or, 2.5x = 110

or, x = 110/2.5

or, x = 44

Second part = 110 - 44

                      = 66

Therefore, the two numbers are 44 and 66.

Answer 2

Given: Divide 110 into two parts so that one will be 150 percent of the other.

To find: the two numbers into which 110 is divided.

Solution:

Let the first part be x. Then,

The other number will be $150\%$ of x, i.e., $1.5 x$.

Form the required equation and simplify it.

$\[\begin{array}{l}x + 105x = 110\\ \Rightarrow 2.5x = 110\\ \Rightarrow x = \frac{{110}}{{2.5}}\\ \Rightarrow x = 44\end{array}\]$

Therefore, the first part is 44, then,

Second part $= 110 - 44$

                      $= 66$

Hence, the two numbers are 44 and 66 respectively.