These questions are giving me a headache. Can someone help
1. what is the ratio of the number of boys to the number of girls on the bus? 1) The number of boys is 5 less than twice the number of girls 2) The diff between the number of boys and the number of girls is 35
2. How old is Sally now? 1) 16 years ago she was 1/3 her present age 2) in 12 years, she will be 1 1/2 times her present age.
Let the number of boys = x and number of girls = y so that required ratio = x : y
According to question , we have x – 5 = 2y ——(1) and x = y +35 …......(2)
solving (1) and (2) for x and y , we get x = 75 and y = 40
So the required ratio = 75 : 40 = 15 : 8.
second Question: Let the present age of Sally = x years Age of Sally before 16 years = ( x -16 ) yrs Age of Sally after 12 years = ( x + 12 ) yrs According to question , we have
x – 16 = x / 3 —-— (1) and x + 12 = 3x / 2 —-——(2)
On solving (1) and (2) for x , we get x = 24
Hence the present age of Sally = 24 years
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