maths

the ratio of two number is 2:3 and their sum is 30 find the numbers

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  1. let the number be
    a:b=2:3
    a+b=30
    now
    a/b=2/3
    a=2b/3
    input above
    2b/3+b=30
    2b+3b=90
    5b=90
    b=18
    i live to to find the other value now

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    2. 👎
  2. a / b = 2 / 3 Multiply both sides by b

    a = ( 2 / 3 ) b

    a + b = 30

    ( 2 / 3 ) b + b = 30

    ( 2 / 3 ) b + ( 3 / 3 ) b = 30

    ( 5 / 3 ) b = 30 Multiply both sides by 3

    5 b = 30 * 3

    5 b = 90 Divide both sides by 5

    b = 90 / 5 = 18

    a = ( 2 / 3 ) b = 2 * 18 / 3 = 36 / 3 = 12

    a / b = 12 / 18 = ( 2 * 6 ) / ( 3 * 6 ) = 2 / 3

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  3. 2+3=5
    sum=30
    first number=2/5*30=12
    second number=3/5*30=18
    verify:
    12+18=30

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