Division of 45

Algebra Level 2

The number 45 is divided into four parts such that when 2 is added to the first part , 2 is subtracted from the second part , 2 is multiplied by the third part and the fourth part is divided by 2,all the four results are equal to the same number "x"

Find "x"


The answer is 10.

Alamuru Ganesh by Alamuru Ganesh , 21, India

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2 solutions

Take a + b + c + d = 45 a+2=b-2=2c=d/2x Solve for each letter in terms of a and you get: a + a+4 + a/2 +1 + 2a +4 Collect terms and solve for a (=8), add 2 as a+2=x and you get x=10

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Uday Iyer
May 6, 2014

a+b+c+d=45 ------- (1) a+2=x =》a=x-2 b-2=x =》 b=x+2 c 2=x =》c=x/2 d/2=x =》 d=2 x

substitute the above values a,b,c,d in equation (1) then we get x=10

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