Find out x

Algebra Level 3

divide 127 into 4 parts such that if first part be increased by 18, the second diminished by 5, the third multiplied by 6 and the fourth divided by 5/2,the results are all equal find out the greatest part.

The answer is 75.

1 solution

Ankit Kumar Jain
Mar 20, 2015

Take the parts as a,b,c,d.

Now according to conditions,

$a+18 = b-5 = 6c = \frac{2d}{5}$ .

$b = a + 23 ; c = \frac{a}{6} + 3 ; d = \frac{5a}{2} + 45$

Now replace all the variables with a in the equation $a + b + c + d = 127$ which gives us $14\cdot a = 168$ .

Therefore $\boxed{a = 12}$ .

Now using other equations you get $\boxed{b = 35 ; c = 5 ; d = 75}$ .

So d is the greatest i.e. 75.

Find out x

The answer is 75.

1 solution

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