Question

ratio of 25% of x to 50% of y to 75% of z is 5:4:12. if (x-y+x)^2=49 and x , y and z is positive. then what is the value of 4x+10y-4z

Answer 1

Answer:  Value of 4x+10y-4z=21

Step-by-step explanation:

Given :

ratio of 25% of x to 50% of y to 75% of z=5:4:12 and (x-y+x)²=49⇒2x-y=7

that is, 25x/100:50y/100:75z/100=5:4:12

          x/4:y/2:3z/4=5:4:12

  now x/4:y/2=5:4

       x/4  =5/4

       y/2

     2x/4y=5/4

    2x=5y  --------------------------eq(1)

so,2x-y=7⇒5y-y=4y=7 ⇒y=7/4

then from eq(1), 2x=5×7/4⇒ x=35/8

now, x/4:3z/4=5:12

         x/4/3z/4=5/12

x/3z=5/12

x=5z/4  ⇒35/8=5z/4 ⇒ z=7/2

now,4x+10y-4z= 4×35/8+10×7/4_4×7/2

                       = 35/2+35/2-28/2

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