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3 years ago

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers

Mathematics

2 answers:

worty [1.4K]3 years ago

7 0

Answer:

$\boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}$

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

$\sf{2x + 3x = 35}$

Solve for x.

Collect like terms

$\dashrightarrow{ \sf{5x = 35}}$

Divide both side by 5

$\dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}$

Calculate

$\dashrightarrow{ \sf{x = 7}}$

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

$\dashrightarrow{ \sf{2x = 2 \times 7 = 14}}$

$\dashrightarrow{ \sf{3x = 3 \times 7 = 21}}$

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Marysya12 [62]3 years ago

6 0

Answer:

14 and 21 is the answer

Step-by-step explanation:

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2 years ago

quadrilateral paid is a rectangle whose diagonals have the endpoints p(-3, -2)i(4, -7) and a(4, -2)d(-3, -7). find the diagonals

julia-pushkina [17]

Answer:

The intersection point of diagonals is (0.5,-4.5).

Step-by-step explanation:

The end points of first diagonal are p(-3, -2) and i(4, -7).

The end points of second diagonal are a(4, -2) and d(-3, -7).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of first diagonal is

$y-(-2)=\frac{-7-(-2)}{4-(-3)}(x-(-3))$

$y+2=\frac{-5}{7}(x+3)$

$7y+14=-5(x+3)$

$7y+14=-5x-15$

$5x+7y=-29$ .... (1)

The equation of second diagonal is

$y-(-2)=\frac{-7-(-2)}{-3-4}(x-4)$

$y+2=\frac{-5}{-7}(x-4)$

$7y+14=5(x-4)$

$7y+14=5x-20$

$5x-7y=34$ .... (2)

Add equation (1) and (2),

$10x=5$

$x=0.5$

Put this value in (1).

$5(0.5)+7y=-29$

$y=-4.5$

The intersection point of diagonals is (0.5,-4.5).

3 0

2 years ago

2/5 times 15/17 times 3/4 =

Dahasolnce [82]

2/5*15/17*3/4
= 2*15*3/5*17*4
= 2*15*3/340
= 90/340
=90/34
hope this helps hope I'm right :)

4 0

2 years ago

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers​

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers