What should be added to 9=2/3 to get 19
Answers
Answer:
y=9 1/3
PREMISES
y=9 2/3+r=19
ASSUMPTIONS
Let r=the number added to 9 2/3 (addend)
CALCULATIONS
y=9 2/3+r=19
(9 2/3–9 2/3)+r=19–9 2/3
0+r=9 1/3
r=
9 1/3
PROOF
If r=9 1/3, then the equations
9 2/3+9 1/3=19 and
19=19 prove the root (zero) r=9 1/3 of the addition 9 2/3+r=19
C.H.
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Let me ask you two questions:
What should we add to 923 to get 10 ?
What should we add to 10 to get 19 ?
I bet that you already know how to answer each of these questions. Add those numbers together and you will have the answer to your question.
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9 2/3 = 29/3
Add x = 29/3 to get 19, So x = 19 - 29/3 = (57–29)/3 = 28/3.
So add 28/3 or (9 and 1/3) to (9 and 2/3) to get 19.
Using the J programming language:
19 - 9+2r3
28r3
The answer is 28/3
Check:
28r3+ 9+2r3
19
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“Civilization advances by extending the number of important operations which we can perform without thinking of them.”
― Alfred North Whitehead
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Subtraction of mixed numbers is most easily done by having common denominators.
19 - 9 2/3 = 57/3 - 29/3 = 28/3 = 9 1/3.
If you want another way, perhaps you can see a way of borrowing. 19 - 9 2/3 = 18 3/3- 9 2/3 = 9 1/3.
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“What should be added to x to get y” is practically the definition of y - x. In the present case 19 -9 2/3 = 9 1/3, so there’s your answer. 9 1/3 must be added to 9 2/3 to get 19.
I’m curious about what aspect of the problem had you stumped?
It will be 9 1/3
9 2/3 + 9 1/3
= 29/3 + 28/3
= 57/3
=19
Simple
9 2/3+(19–9 2/3)= 19
9 1/3
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Step-by-step explanation: