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3 years ago

The sum of two numbers is 28 and their difference is 4. Find the numbers.

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

Answer:

Two numbers are 16 and 12

Step-by-step explanation:

Let x and y be the numbers

x + y = 28 (1)

x - y = 4 (2)

y = x - 4 (2')

sub (2') into (1)

x + x - 4 = 28

2x = 32

x = 16

Sub x value into equation (1)

16 + y = 28

y = 28 - 16

y = 12

-BARSIC- [3]3 years ago

5 0

18+10 hope this helps :)

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____________________

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Drupady [299]

Answer:

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Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

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$(x_1, y_1)=(-2,1)$

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$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

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3 years ago