The sum of 2 numbers is 76. 1/3 of the first number plus 1/2 of the second number is 34. What are the two numbers? What is the difference between the second number and first number?

Answers

Answer 1

Answer: Ok so we have 2 equations here...

x + y = 76
1/3x + 1/2y = 34

First solve for x in the 1st equation...

x + y = 76
x = 76 - y

Now substitute 76-y for x in the 2nd equation...

1/3x + 1/2y = 34
1/3(76-y) + 1/2y = 34
76/3 - 1/3y + 1/2y = 34
-1/3y + 1/2y = 34 - 76/3
-2/6y + 3/6y = 34 - 25 1/3
1/6y = 8 2/3
y = 8 2/3 ÷ 1/6
y = 8 2/3 × 6
y = 52

Now substitute 52 into the 1st equation for y

x + y = 76
x + 52 = 76
x = 76 - 52
x = 24

The 2 numbers are 24 and 52.

The difference between the numbers is
52 - 24 = 28

Answer 2

Answer: 28 difference and the numbers are 13 and 12 121 21 212 12 55 65 545 46 54 6 5 6 6666666 777.0-0000000

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Answers

Use the distributive problem to distribute the 17 to the values in the parentheses. 17(x + 5) = 0, 17x + 17(5) = 0, 17x + 85 = 0. Subtract 85 from both sides of the equal sign. 17x = -85. Divide both sides of the equal sign by 17, x = -5.

ok so if you ahve ab=0
assume a and b=0 because 0 times x=0

17(x+5)=0
17 is not equal to zero
therefor
x+5=0
minus 5
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