1] Two numbers are such that the ratio between them is 3:5. If each is increased by 10. the
ratio between the new numbers so formed is 5: 7. Find the original numbers.
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Step-by-step explanation:
let the two numbers be '3x' and '5x'
each on increasing 10 gives the ratio of 5 : 7
3x + 10 : 5x + 10 = 5 : 7
product of means = product of extremes
5 ( 5x + 10 ) = 7 ( 3x + 10 )
25x + 50 = 21x + 70
25x - 21x = 70 - 50
4x = 20
x = 20/4
x = 5
the original numbers 3x = 3(5) = 15
and 5x = 5(5) = 25
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