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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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Read more about proportions at:

brainly.com/question/21126582

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