x/4= y/3= z/2; 7x+8y+5z=62
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Let x/4 = y/3 = z/2 = k
=> x = 4k ---( 1 )
y = 3k ----( 2 )
z = 2k ----( 3)
And
7x+8y+5z = 62 ( given )
=> 7(4k)+8(3k)+5(2k) = 62
=> 28k + 24k + 10k = 62
=> 62k = 62
=> k = 62/62
=> k = 1
Now ,
put k = 1 in equations (1),(2)
and (3) , we get
x = 4k = 4
y = 3k = 3,
z = 2k = 2
Therefore,.
x = 4, y = 3 , z = 2
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