Question

If 2x=3y=5z, find the value of 3x+4y+5z:4x+7y+9z

Answer 1

Answer:

$<p style="color:cyan;font-family:cursive;background:black;font size:40px;"> Here is the shortcut to find the ratio x:y:z , given 3x=4y=12z.</p><p></p><p>All you need to do is find x,y & z independently.</p><p></p><p>To find x:</p><p></p><p>Multiply the coefficients of y & z.</p><p></p><p>That is, 4 x 12 = 48, this is the value of x.</p><p></p><p>To find y:</p><p></p><p>Multiply the coefficients of z & x.</p><p></p><p>That is, 12 x 3 = 36 , this is the value of y.</p><p></p><p>To find z:</p><p></p><p>Multiply the coefficients of x & y.</p><p></p><p>That is, 3 x 4 =12, this is the value of z.</p><p></p><p>Therefore, x: y:z = 48:36:12</p><p></p><p>After simplification, we get x:y:z=4:3:1" </p>$

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Answer 2

Answer:

Here is the shortcut to find the ratio x:y:z , given 3x=4y=12z. < /p > < p > < /p > < p > All you need to do is find x,y & z independently. < /p > < p > < /p > < p > To find x: < /p > < p > < /p > < p > Multiply the coefficients of y & z. < /p > < p > < /p > < p > That is, 4 x 12 = 48, this is the value of x. < /p > < p > < /p > < p > To find y: < /p > < p > < /p > < p > Multiply the coefficients of z & x. < /p > < p > < /p > < p > That is, 12 x 3 = 36 , this is the value of y. < /p > < p > < /p > < p > To find z: < /p > < p > < /p > < p > Multiply the coefficients of x & y. < /p > < p > < /p > < p > That is, 3 x 4 =12, this is the value of z. < /p > < p > < /p > < p > Therefore, x: y:z = 48:36:12 < /p > < p > < /p > < p > After simplification, we get x:y:z=4:3:1" < /p >