Math, asked by app458060, 8 months ago

find two numbers in the ratio 8:7 such that when each is decreased by 24/2 they are in ratio 11:9​

Answers

Answered by vihan9750
1

Answer:

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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