Two numbers a and b are such that the sum of5% of a and 4% of b is the two third of the sum of 6% of a and 8% of b . Find the ratio a:b
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ratio a:b =4:3
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tarini44:
sooooo much
it's actually 3:4
srry i don't think so
as a:b is asked
3a:4b
then a:b should be 3:4
maybe it is ....but from my point of view it is 3a=4b thereafter a/b = 4/3 thus a:b =4:3 ...apologies if i m wrong
no no u r right ......scholar
thanxx a lot
welcome
Answered by
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SOLUTION:
Given,
(5% of a) + (4% of b) = (2/3)×[(6% of a) + (8% of b)
=> (5a/100) + (4b/100) = (2/3)×[(6a/100) + (8b/100)]
=> (5a/100) + (4b/100) = (4a/100) + (16b/300)
=> (5a/100) - (4a/100) = (16b/300) - (4b/100)
=> a[(5/100) - (4/100)] = b[(16/300) - (4/100)]
=> a(1/100) = b(4/300)
=> a = b(4/3)
=> (a/b) = (4/3)
•°• a : b = 4 : 3
Thus, the required ratio is 4 : 3.
HOPE IT WILL HELP...
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