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A plant was 90 cm tall when it was planted. it grows by equal no. of cms each year . At the end of 7th year it was 1/9th taller than at the end of

sixth year. how tall was the plant at the end of 12th year?


Let the cms tree grows each year be x
height of tree after 7 years = 7x+90
height of tree after 6 years = 6x+90
therefore 7x+90 = 9(6x+90)
i.e. 7x+90 = 54x+810
i.e. 54x-7x = 810-90
i.e. 47x = 720
i.e. x = 15.3
at the end of 12 years height = 90+12*15.3 = 273.6
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