Question

There are 154 beads in a rosary and all are coloured, either RED or BLUE or GREEN. The number of blue ones is three less than red and five more than green. The number of Red beads are:
A.55
B.47
C.45
D.52

Answer 1

$<b>Heya mate. (^_-). Solution below.✓$
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$\mathfrak{\blue{\underline{ Answer -}}}$

♦ Let the number of blue beads be 'x'.

♦ Then, number of red beads = x + 3

♦ And, number of green beads = x - 5

♦ Now, it is given that there are total 154 beads.

=>>> blue beads + red beads + green beads = 154

$<tt><font color = "red">=> x + x + 3 + x - 5 = 154$

=> x + x + x + 3 - 5 = 154

=> 3x - 2 = 154

=> 3x = 154 + 2

=> 3x = 156

=> x = 156/3

$=> x = 52</font color></tt>$

•°• Number of each color of beads are -

♦ Blue beads = x = 52

♦ Red beads = x + 3 = 52 + 3 = 55

♦ Green beads = x - 5 = 52 - 5 = 47

♥ Therefore your answer is : there are 55 red beads, i.e., option A.✓✓✓
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Thank you.. (^^)