Question

A 83 -centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece is 7 cm longer that the shortest piece. How long is each piece?

Answer 1

Answer:

longest piece is 38 cm

medium piece is 26 cm

smallest piece is 19 cm

Step-by-step explanation:

Let's assume longest piece is x cm

medium piece is y cm

smallest piece is z cm

The longest piece is twice as long as the shortest piece

so, $x=2z$

The other piece is 7 cm longer that the shortest piece

so,

$y=z+7$

A 83 -centimeter-long board is cut into 3 pieces

so,

$x+y+z=83$

now, we can plug these equations

$2z+z+7+z=83$

now, we can solve for z

$4z=76$

$z=19$

now, we can find x and y

$x=2\times 19=38$

$y=19+7=26$

so,

longest piece is 38 cm

medium piece is 26 cm

smallest piece is 19 cm