Math, asked by SHREYANSHISIKARIA, 1 year ago

divide 36 into four parts so that if 2 is added to the first part, 2 is subtraced from the second part, the third part is multiplied by 2,and the fourth part is divided by 2, then the resulting number is the same in each case

Answers

Answered by DebashishJoshi
156
let a,b,c,d be 4 numbers after dividing in to 4 parts.
now a+b+c+d=36
again a+2=b-2=c×2=d÷2
=>b-a=4,b=a+4
c=(a+2)/2
d=2(a+2)
now putting all these values in main eqn
a+a+4+(a+2)/2+2a+4=36
=>4a+8+(a+2)/2=36
=>9a+18=72
=>9a=54
*a=6
now b=a+4=6+4=10
again c=(a+2)/2=(6+2)/2=4
now d=2(a+2)=2(6+2)=2×8=16

______hope it will help you

SHREYANSHISIKARIA: Thank you for your answer but we need to find it in 2 variables one because the chapter is simultaneous linear equations in two variables
SHREYANSHISIKARIA: but thanks for your effort and this method can also be considered valid
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