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## Explanation

A 70cm long wire is to be cut into two pieces

The cutting must be in such a way one piece will be 2/5 as long as the other.

We shall assume the length of one piece “y” and the other of course “2y/5”.

The addition of these two gives the actual length of the wire which is 70cm.

y + 2y/5 = 70

Through this equation we can easily figure out the length of shorter piece.

## To Find

Length of the shorter piece = ?

## Solution

Total given length of the wire = 70cm

Let suppose the length of one piece after cutting = y

The length of second piece after cutting = 2y/5

Now; according to condition

y + 2y/5 = 70

5y + 2y = 350

7y = 350

y = 50

2y/5 = (2 x 50)/5 = **20cm answer**

## Conclusion

A 70cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. The length of shorter piece will be 20cm.