Using each of the numbers 1-9 exactly once, each of the blanks below can be filled to create a true statement (example: 519 + 327 = 846).

_ _ _ + _ _ _ = _ _ _

Find 15 more solutions. (Hint: Think about how you can you use one solution to generate more solutions.)

Question

Using each of the numbers 1-9 exactly once, each of the blanks below can be filled to create a true statement (example: 519 + 327 = 846).

_ _ _ + _ _ _ = _ _ _ 

Find 15 more solutions. (Hint: Think about how you can you use one solution to generate more solutions.)

ganeshie8 · Answer

interesting problem

anonymous · Answer

is it possible to find a single solution to generate the rest of the 15 solutions?

ganeshie8 · Answer

You may use the solution given in example :  `519 + 327 = 846`

anonymous · Answer

how do i use that to generate the rest?

ganeshie8 · Answer

I'll give a hint for generating few solutions using the given example.

Look at the left hand side sum. Do you think swapping the digits in units place affect the value of sum ?

ganeshie8 · Answer

$$51\color{red}{9} + 32\color{red}{7} = 846$$

swap them

anonymous · Answer

no, it doesn't!

anonymous · Answer

it still equals the same amount

ganeshie8 · Answer

good, try swapping ten's place and hundred's place also and see if it affects the sum

ganeshie8 · Answer

$$5\color{red}{1}9 + 3\color{red}{2}7 = 846$$

swap them

anonymous · Answer

no, its still the same! and for the hundreds its the same as well. what does this mean?!

usukidoll · Answer

it means you're creating a true statement just by swapping the numbers' places.

perl · Answer

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