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Sonja [21]
3 years ago
15

the difference of two positive numbers is 8. the larger is twice the smaller decreased by 7. find the two numbers

Mathematics
1 answer:
bulgar [2K]3 years ago
8 0

Find the two numbers. Algebra -> Customizable Word Problem Solvers -> Numbers -> SOLUTION: The difference of two positive numbers is 8. The larger is twice the smaller decreased by 7.

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HELP PLZ PICK ONE OF THE ONES SHOWN:
defon

I am doing with Question Number 2

Let the two numbers be 'x' and 'y'.

According to the question, the product of two numbers is 14.

x \times y=14

So, xy=14 (Equation 1)

Now, one of the numbers is 3 ½ times the other.

So, x = 3\frac{1}{2}\times y

x=\frac{7}{2}y (Equation 2)

Substituting the value of 'x' from equation 2 in equation 1, we get

\frac{7}{2}y \times y = 14

\frac{7}{2}y^{2} = 14

y^{2} = 4

So, y= 2 and -2

So, x=\frac{14}{2} and x=\frac{14}{-2}

x=7 and -7

Numbers are 2,7 and -2,-7.

Sum of numbers 2 and 7 = 9

Sum of numbers -2 and -7 = -9.


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