Math, asked by abdulrehmanmughal950, 1 month ago

object A is 5kg heavier than object B and the mass of object C is twice the mass of object A. If the total mass of the three is 225 kg, find the mass of object C.​

Answers

Answered by Harshgupta123
0

Step-by-step explanation:

x = mass of object A

y = mass of object B

z = mass of object C

object A is 5 kg heavier than object B

x = y + 5

object C is twice the mass of object A

z = 2 * x

total mass is 255 kg.

x + y + z = 255

x = y + 5 leads to y = x - 5 as follows:

start with x = y + 5

subtract 5 from both sides to get x - 5 = y

replace y with x - 5 and replace z with 2 * x in the equation of x + y + z = 255.

 

you will get x + x - 5 + 2 * x = 255

combine like terms to get 4 * x - 5 = 255

add 5 to both sides to get 4 * x = 260

divide both sides by 4 to get x = 65

x = 65

y = x - 5 = 60

z = 2 * x = 130

x + y + z = 255 becomes 65 + 60 + 130 = 255 which becomes 255 = 255 which is true.

x = y + 5 becomes 65 = 60 + 5 which becomes 65 = 65 which is true.

z = 2 * x becomes 130 = 2 * 65 which becomes 230 = 230 which is true.

solution is confirmed to be true.

solution is the mass of object C = z which is equal to 130.

Answer by josgarithmetic(35577) About Me  (Show Source):

You can put this solution on YOUR website!

Let b equal mass of object B.

OBJECT      MASS

A           b+5

B           b

C           2(b+5)

TOTAL       255

Solve for b in Total equation and evaluate C.

Please mark my answer as BRAINLIEST...

Answered by keerthireddyeada7733
0

Step-by-step explanation:

Mass of A = 5kg heavier than B

Mass of C = Twice the mass of A = 2×A

A+B+C= 225kg

A=B+5

B=B

C=2×A

A+B+C=225

B+5+B+2×(A)

=B+5+B+2(B+5)

=4B+15=225

4B=225-15

4B=210

B=52.5kg

mass B is 52.5kg

Mass of A is =B+5=52.5+5=57.5

Mass of C =2×A

=2×57.5

=115

Check

57.5+52.5+115=225

225=225

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