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

longest piece is 38 cm

medium piece is 26 cm

smallest piece is 19 cm

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* 19=38`

`y=19+7=26`

so,

longest piece is 38 cm

medium piece is 26 cm

smallest piece is 19 cm