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You spend $2.75 in a store and receive $7.25 change from $10.00. Notice that the arrangement of the digits in the amount you spent is a rearrangement of the digits in your change. Find 4 other pairs of amounts spent and change from $10.00 that share this property.

- Thanks a lot, much appreciated! smiley

 Mar 27, 2023
 #1
avatar+118617 
+1

I'll head you in the right direction.

 

Its easier if you think in cents

275+725=1000

Let a,b and c represent the 3 digits

 

abc+bac=1000

 

Now just do it as an addition puzzle and you will bet all the possible numbers this can work with.

 

 Mar 27, 2023
 #2
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Here are just a few:

 

10 - 1.85 =8.15
10 - 2.75 =7.25
10 - 3.65 =6.35
10 - 4.55 =5.45
10 - 5.45 =4.55
10 - 6.35 =3.65
10 - 7.25 = 2.75
10 - 8.15 =1.85
10 - 9.05 =0.95
10 - 4.5455=5.4545
10 - 1.4585 =8.5415
10 - 2.4575=7.5425
10 - 3.4565 =6.5435
10 - 4.4555 =5.5445
10 - 6.4535 =3.5465
10 - 7.4525=2.5475
10 - 8.4515 =1.5485

 Mar 27, 2023
 #3
avatar+118617 
0

Its money so you can stop after the first nine :))

Melody  Mar 28, 2023

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