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Reika [66]
3 years ago
9

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.

<u>Now</u><u>,</u><u> </u><u>replacing</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>order</u><u> </u><u>to</u><u> </u><u>find </u><u>the</u><u> </u><u>two</u><u> </u><u>numbers </u><u>:</u>

\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:

Hope it is helpful for you

please follow me

and mark me as a brainest

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Dovator [93]

Answer:

  x = 200

Step-by-step explanation:

Multiply by 4:

  x + 120 + 2x = 720

  3x = 600 . . . . . . collect terms, subtract 120

  x = 200 . . . . . . . divide by 3

_____

<em>Check</em>

  (200/4 +30) +(200/2) = 180

  (50 +30) + 100 = 180

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_____ _____

<em>Alternate solution</em>

If you like, you can simply work with the equation given.

  (3/4)x + 30 = 180 . . . . collect terms

  (3/4)x = 150 . . . . . . . . . subtract 30

  x = 200 . . . . . . . . . . . . multiply by 4/3

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Answer:

A

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Step-by-step explanation:

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Answer:

t

Step-by-step explanation:

In triangle fgy, side f is the shorter side adjacent to the 90 degree angle and side g is the longer side. In triangle gte, side g is the shorter side adjacent to the 90 degree angle and side t is the longer side.

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