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anygoal [31]
2 years ago
6

The sum of two positive integers is 18 and their difference is 2. What is the larger number?​

Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

10

Step-by-step explanation:

we call the numbers x and y

then from the given data:

x+y=18

x-y=2

we add both sides of both equations

x+y+x-y=20

2x=20

x=10

we use the first equation:

10+y=18

then y=8

the larger number is x=10

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The sum of two numbers is zero. When 10 times the smaller number is added to 6 times the larger, the result is 3. Find the two n
zloy xaker [14]

Answer:

3/4 and -3/4

or

0.75 and -0.75

but there is no solution for

10 times the smaller number added to 6 times the larger number to get 3 as result.

the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).

therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).

it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.

Step-by-step explanation:

x + y = 0

10×x + 6×y = 3

=>

x = -y

10×(-y) + 6×y = 3

-10y + 6y = 3

-4y = 3

y = -3/4

=>

x = -y = -(-3/4) = 3/4

control :

10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3

12/4 = 3

3 = 3

correct

6 0
3 years ago
Which measurement is the best estimate for the mass of a penny?
Maksim231197 [3]
B is correct - 2.5g :)
8 0
4 years ago
How to solve this problem<br> -3 1/3 x (-2 7/10)
xz_007 [3.2K]

Answer: 9

Step-by-step explanation:

-3 1/3 x (-2 7/10)

-3  = -3*(3/3) = -9/3

-3 1/3 = -10/3

(-2 7/10)

-2  = -2(10/10) = -20/10

-2 7/10 = -27/10

(-10/3)*(-27/10) = (270/30) = 9

8 0
3 years ago
Whats the area of 8ft, 6ft and 2ft?
Vitek1552 [10]

Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

5 0
3 years ago
Taylor drives 7.5 miles in 10 minutes. If she drove two hours in total at the same rate,
Alex17521 [72]

Answer:

200 is your answer. (insert more text to be helpful here)

5 0
3 years ago
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