Question
Akash has a few pencils with him. By distributing it
equally to the children he is left with 3 pencils. If there were 2 students lesser, he would have been left with only 1 pencil on distributing it equally by giving 2 additional pencils to each child. Had there been 4 children less than the original number, each child would have got 5 additional pencils and Akash would have been left with 3 pencils. How many pencils does Akash have?Solution
Let original number of children = x, and pencils per child = y
We have xy + 3 = (x-2)(y+2) + 1
or xy + 3 = xy + 2x - 2y - 4 + 1
or x - y = 3 or x = y + 3
Next we have:
xy + 3 = (x-4)(y+5) + 3
xy + 3 = xy +5x - 4y -20 + 3
5x - 4y = 20
Since x = y + 3, 5y + 15 - 4y = y + 15 = 20
y = 5, x = 8
Total pencils = xy + 3 = 43
More No. System Questions
√3598 × √(230 ) ÷ √102= ?
15% of 2400 + (√ 484 – √ 256) = ?
(13)2 - 3127 ÷ 59 = ? x 4
6269 + 0.25 × 444 + 0.8 × 200 = ? × 15
...(53 + 480 ÷ 4)% of 20 = ?% of 70
Find the simplified value of the following expression:
62 + 122 × 5 - {272 + 162 - 422}
(15 × 225) ÷ (45 × 5) + 480 = ? + 25% of 1240
√ [? x 11 + (√ 1296)] = 16
11 × 25 + 12 × 15 + 14 × 20 + 15 = ?
