Two numbers are in the ratio 5:9. if 8 is added to each number, the new ratio is 29:49. what is the smaller number in the new ratio?
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let ratio be x
so numbers are 5x and 4
9x
by given condition ,
5x + 8 / 9x + 8 = 29 / 49
49 ( 5x + 8 ) = 29 ( 9x + 8 )
245 x + 392 = 261 x + 232
261 x - 245 x = 392 - 232
16 x = 160
x = 10
so smallest number is , 5x = 5 × 10
= 50
so numbers are 5x and 4
9x
by given condition ,
5x + 8 / 9x + 8 = 29 / 49
49 ( 5x + 8 ) = 29 ( 9x + 8 )
245 x + 392 = 261 x + 232
261 x - 245 x = 392 - 232
16 x = 160
x = 10
so smallest number is , 5x = 5 × 10
= 50
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