# maths

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

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2. 👎
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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

1. 👍
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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2. 👎
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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2. 👎

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