Question

the length of a rolled sheet shaft is 24.5 m. if it is divided into two parts such that one piece is 2.5 times the other piece then the length of the smaller pieces is​

Answer 1

✬ Smaller Piece = 7 m ✬

Step-by-step explanation:

Given:

• Length of a rolled sheet shaft is 24.5 m.
• Sheet is divided into two parts such that one piece is 2.5 times the other piece.

To Find:

• What is the length of smaller piece?

Silution: Let the larger piece be x and smaller piece be y. Therefore,

➟ ( Larger + Smaller ) piece = 24.5 m

➟ x + y = 24.5 m

➟ x = 24.5 – y.....(1)

A/q

• Larger piece is 2.5 times the smaller piece.

➟ x = 2.5 times of y

➟ x = 2.5y.....(2)

[ Put the value of x in equation 2 from 1 ]

$\implies{\rm }$ x = 2.5y

$\implies{\rm }$ 24.5 – y = 2.5y

$\implies{\rm }$ 24.5 = 2.5y + y

$\implies{\rm }$ 24.5 = 3.5y

$\implies{\rm }$ 24.5 /3.5 = y

$\implies{\rm }$ 7 = y

So, Length of

➭ Smaller or other piece is y = 7 m.

➭ Larger piece is x = 2.5(7) = 17.5 m.

__________________

★ Verification ★

➛ 7 + 17.5 = 24.5

➛ 24.5 m = 24.5 m

$\large\bold{\texttt {Verified }}$

Answer 2

Answer:

Plz mark me as BRAINLIEST....

Step-by-step explanation:

Okay, so let’s call the small piece ‘x’, and the long piece ‘y’.

We know that both of them together make 24.5m, so:

x+y = 24.5m.

We also know that the longer piece is 2.5 times the length of the shorter one, so:

y = 2.5x

Now, looking back at the original formula, we can replace the y with 2.5x to give us:

x+2.5x = 24.5m

One ‘x’ plus two-and-a-half ‘x’s are three-and-a-half ‘x’s, so:

3.5x = 24.5m

Divide both sides by 3.5 to find x on it’s own:

x= 24.5m/3.5

And we get our answer!

=7m

Hope that helps.