# There are three pumpkins.Each two of them are weighed in pairs and the final results are: #12# #"kg"#, #13# #"kg"#, #15# #"kg"#, What is the weight of the lightest pumpkin?

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Please help......Thanks

Please help......Thanks

##### 1 Answer

#### Answer:

The weight of the lightest pumpkin is

#### Explanation:

If we weigh pumpkin 1 (let's call it

Then solve for

Next, if we weigh pumpkin 1 (still calling it

Then solve for

Next, if we weigh pumpkin 2 (still calling it

But from above we know what

Substituting the value of

And substituting the value of