Question

6. There are some flowers in
some flowers in a basket. If these are distributed among 12 children
equally, 8 flowers remain and if these flowers are distributed among
17 children equally, 10 flowers remain. What is the minimum number of
flowers in the basket ?
(1) 30 (2) 28 1B) 80 (4) 84
​

Answer 1

Answer:

30 answer 1 st is correct 30 flowers in the basket

Answer 2

Answer:

44

Think

The question is equivalent to

Find smallest positive which gives reminder of 8 dividing by 12 and 10 dividing by 17 .

Check options

or

So let any two positive integers x and y , our number is

12x + 8 or 17y + 10

$12x + 8 = 17y + 10 \\ 12x = (12 + 5)y + 2 \\ 12(x - y) = 5y + 2 \\ 12k = 5y + 2$

Possible least value

y = 2

So answer

n = 17y + 10 = 44