The sum of two numbers is 3 more than three times of the smaller. if the difference of the numbers is 5, find the numbers.
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Step-by-step explanation:
step 1. the difference between two numbers was 5, so:
BIG = Little plus 5.
step 2. 3 Littles plus 1 Big equals 33.
step 3. 3 Littles + (1 Little plus 5) equals 33 <== a logical substitution replacing Big.
Now we logically combine the numbers and the Littles separately.
step 4. 4 Littles equal (33 - 5) , or 28. wow, we could do this in the 6th grade.
step 5. 1 Little equals 7 because (4 times 7) equals 28.
step 6. BIG equals (7 plus 5), which is 12.
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