betseydemarcus betseydemarcus

26-06-2020
Mathematics

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If a number is added to the numerator of 3/4 and twice as much is added to the denominator, the result is 4/7. Find the number.

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osikbro osikbro

26-06-2020

Answer:

5

Step-by-step explanation:

[tex]\dfrac{3+x}{4+2x}=\dfrac{4}{7} \\\\\\\dfrac{7(3+x)}{4+2x}=4 \\\\\\7(3+x)=4(4+2x) \\\\\\21+7x=16+8x \\\\\\21=x+16 \\\\\\x=5[/tex]

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