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If x(x + y + z) = 20, y = (x + y + z) = 30 & z(x + y + z) = 50, then the value of 2(x + y + z) is?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\text{Put }}\left( {x + y + z} \right) = 10 \cr
& x = 2 \cr
& y = 3 \cr
& z = 5 \cr
& x\left( {x + y + z} \right) = 20 \cr
& \Leftrightarrow 2\left( {10} \right) = 20 \cr
& \Leftrightarrow 20 = 20 \cr
& {\text{Similarly other will satisfied,}} \cr
& {\text{So, value of 2}}\left( {x + y + z} \right) \cr
& = 2\left( {10} \right) \cr
& = 20 \cr} $$
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LoginY(x+y+z)=30...(ii)
Z(X+y+z)=50...(iii)
By adding all of them,
X+y+Z=10
Now 2(x+y+z)=2*10=20..(Ans)