The age of Aman and Saumya are in the ratio of 5:7. Four years later their age will be in the ratio of 3:4. Find their present age.

Question

The age of Aman and Saumya are in the ratio of 5:7. Four years later their age will be in the ratio of 3:4. Find their present age.

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Remi 1 month 2021-08-18T02:59:24+00:00 2 Answers 0 views 0

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    0
    2021-08-18T03:00:25+00:00

    Let the age of the of Aman ne 5x and saumya ne 7x

    After four years later the age = 5x +4 and 7x+4

    Age= 5x+4 =7x+4

    Now, (5x+4)×4=(7x+4)×3

    20x-16 =21x+12

    now 21x-20x=16-12

    x=4

    5x= 5×4=20 and 7x=7×4=28

    so the present age of Aman is 20 years and age of saumya is 28 years

    0
    2021-08-18T03:01:04+00:00

    Answer:

    \huge\bold\star\pink{Answer}\star

    Let the rational between ages of Aman and Saumya be x

    The ages of Aman and Saumya are in the ratio 7:5.

    Thus there ages are, Aman 7x and saumya 5x

    Ten years hence, the ratio of their ages will be 9:7.

    10 year hence their ages will be

    Leena’s age 7x + 10

    Heena’s age 5x + 10

    The ratio of their ages

    7x + 10 / 5x + 10 = 9 / 7

    Cross multiplication

    9 ( 5x + 10 ) = 7 ( 7x + 10 )

    45x + 90 = 49x + 70

    45x – 49x = 70 – 90

    —5x = -20

    5x = 20

    x = 20/5

    x = 4

    The rational is 4

    Their respective ages

    Aman’s age 7x = 7 × 4 = 28 years

    Saumya’s age 5x = 5 × 4 = 20 years

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