Instructions
In each of these questions, two quianitties A and B are given: Compare the two quantities and mark answer as
Question 158
Aditi bought X blue colored pencils and Y red ones.
Ajitha bought 15 pencils fewer than two third Of the total number of Pencils that Aditi bought.
A: The number of pencils that Ajitha bought
B: $$\frac{(2X - 45 + 2Y)}{3}$$
Solution
The total number of pens with Aditi would be X+Y
Since Ajitha bought 15 less than two-third of Aditi's pens, we can get the number of pens with Ajitha to be $$\frac{2}{3}\left(X+Y\right)-15$$
Upon solving this, we would get:
$$\frac{2X+2Y}{3}-15$$
$$\frac{2X+2Y-45}{3}$$
This is the value of A, this is equivalent to the given value of B.
Therefore, Option C is the correct answer.
