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    Two numbers are in the ratio of 7:8. If the difference between the numbers is 30. then find the numbers.
    Question



    Two numbers are in the ratio of 7:8. If the difference between the numbers is 30. then find the numbers.

    A.

    215, 245

    B.

    205, 235

    C.

    220, 250

    D.

    210, 240

    Correct option is D

    ​​Let the two numbers be in the ratio 7:8.So, let the numbers be 7x and 8x.Given: 8x7x=30x=30Therefore,7x=7×30=2108x=8×30=240The two numbers are 210 and 240.\text{Let the two numbers be in the ratio } 7:8. \\\text{So, let the numbers be } 7x \text{ and } 8x. \\[10pt]\text{Given: } 8x - 7x = 30 \\[10pt]x = 30 \\[10pt]\text{Therefore,} \\7x = 7 \times 30 = 210 \\8x = 8 \times 30 = 240 \\[10pt]\text{The two numbers are } {210 \text{ and } 240}.

    Correct answer is (d) 210 and 240.

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