Bulu writes the series 9, 14, 19, … , 194 on a paper and
Gullu writes the series 11, 14, 17, … , 197 on anther piece
of paper. Then they both compare their lists. How many
numbers do both have in common?
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Answer Posted / abhi
9+5a=9,14,19,.....194.
11+3b=11,14,17.......197
for the numbers to be common
(1.)9+5a=9+11+3b
(2.)5a-3b=2
for integral solutions of a,b the step size of a and b is
3 and 5 respectively .
a=1,4,7,10.....so on.
b=1,6,11,16.....so on.
now substitute values back to equation 1.
we get the answer.(this is solution using properties of
graph and step size)
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