find two numbers in the ratio 8:7 such that when each is decreased by 24/2 they are in ratio 11:9
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let the common multiple be x
numbers 8x and 7x
When each number is decreased by 24/2 = 12
8x -12 : 7x -12 = 11: 9
Cross multipling
11( 7x -12) = 9(8x -12)
77x - 132 = 72x - 108
77x -72x = 132 -108
5x = 24
x = 24/5
x = 4.8
the numbers are 8 X 4.8 and 7 X 4.8
numbers are = 38.4 and 33.6
Step-by-step explanation:
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