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A Garland consists of blue and red beads. The number of blue beads is an even number and the number of red beads is an odd number. The total number of beads is 55. The difference in the numbers of blue and red beads is equal to the greatest one digit prime number.

What is the number of Red Beads ?


The answer is 31.

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1 solution

Dhananjay Dhiman
Feb 4, 2015

Let the number of any one color of beads be 'x' and the second color of beads be 'y'. Therefore, x+y=55 -------- equation (1) and x-y=7 --------- equation (2) After this, Solving (1) and (2) we have, x=31 and y=24. Since the number of red beads is an odd number, Hence, the required number of Red Beads is 31.

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