Question

The ratio between numbers is 5:9 if each
numbers is increased by 16, the ratio
becomes 3:5, find the numbers?​

Answer 1

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Answer 2

Answer:

1st no.=80

2nd no.=144

Step-by-step explanation:

Ratio of 2 nos.=5:9

Taking x as the common multiple,

1st no.=5x

2nd no.=9x

After adding 16,

Ratio of 2 nos.=3:5

There fore accoding to the condition,

5x+16/9x+16=3/5

Cross multiplying

5(5x+16)=3(9x+16)

25x+80=27x+48

80=27x-25x+48

80=2x+48

80-48=2x

32=2x

x=32/2=16

1st no.=5x=5×16=80

2nd no.=9x=9×16=144