Two numbers are in the ratio 7:9. When each of these numbers is decreased by 4. then their rabo becomes 5: 7. Find the sum of two numbers.
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Let numbers be in fraction 7x/9x
As per the second statement we will have to reduce 4 from each .
So, 7x-4 / 9x-4 = 5/7
7x-4 * 7 = 9x-4 * 5
49x - 28 = 45x - 20
49x - 45x = -20 + 28
4x = 8
x = 2
By susbsituting value of x in the first given ratio
7x = 7*2 = 14
9x = 9*2 = 18
Hence sum = 14 + 18 = 32
Step-by-step explanation:
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