makennskyee1198
06.07.2019 •
Mathematics
The sum of twice a number and a second number is 61. the second number is 17 less than four times the first. what are the two numbers?
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Ответ:
We have two numbers, let's say a and b.
We must build our equations.
Sum = addition, and twice = multiplication, so:
where a represents "twice a number"
Less = subtraction, and four times = multiplication, so:
Now we have our two equations:
One of these is already solved for a variable, so we can substitute it.
Substitute b into the first equation:
We have solved for a's int value, being 13.
Plug a into the second equation and solve for b:
We have solved for b's integer value, 35.
Now that we have both numbers, let us check our solution:
a = 13
b = 35
The sum of twice a number and a second number is 61:
13(2) + 35 = 26 + 35 = 61 ✓
The second number is 17 less than four times the first:
35 = 4(13) - 17 = 52 - 17 = 35 ✓
Our answers are:
a = 13
b = 35
Ответ:
This helped so much thank you!!!