Question

A 22inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than four times the length of the first piece. Find the length of the pieces

Answer 1

Answer:

The length of the pieces is 3 inch, 6 inch and 13 inch.

Step-by-step explanation:

Let, the length of the first piece is x inch.

Hence, the length of the second piece is 2x.

It is given that, the length of the third piece is one inch more than four times of the first piece. Hence, the length of the third piece is 4x + 1 inch.

The total length of the steel is 22 inch.

Hence, x + 2x + 4x + 1 = 22

or, 7x = 21

or, x = 3.

The length of the second piece is $2x = 2\times3 =$ 6 inch.

The length of the third piece is $4x + 1 = 12 + 1 =$ 13 inch.