57.
1) IU
2)6
3) 14
4) 16
Deepu has certain number of flowers. It is not less than 15 and not more than 30. If she wants
give these flowers equally to two of her friends. Then two flowers remain. If she wants to g
these flowers equally to four of her friends, then three flowers remain. The number of blow
with Deepu is
1) 11
2) 35
3) 25
4) 23
Answers
Given : Deepu has certain number of flowers. not less than 15 and not more than 30. If she wants give these flowers equally to four of her friends, then three flowers remain
To find : The number of flowers with deepu
Solution:
Correction : If she give these flowers equally to 3 of her friends. Then two flowers remain.
=> Flowers = 3a + 2
Flowers= 4b + 3
3a + 2 = 4b + 3
=> 3(a - 1) = 4b - 2
=> 3(a - 1) = 2(2b - 1)
=> 3(a - 1) = 2(2b - 1) = 6k
=> a - 1 = 2k
=> a = 2k + 1 or 2b = 3k + 1
3a + 2 = 3(2 k + 1) + 2
= 6k + 5
4b + 3 = 2(3k + 1) + 3 =6k + 5
Flowers = 6k + 5
15 < 6k + 5 < 30
=> 10 < 6k < 25
=> k = 2 , 3 , 4
Flowers = 17 , 23 , 29
Out of given option only 23 Satisfies this
Hence deepu has 23 Flowers
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