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Question
Tanya's grandfather was 8 times older to her 16 years ago . He would bi 3 times of her age 8 years from now . Eight years ago, what was the ratio of Tanya's age to that of her grandfather ?
1:2
1:5
3:8
None of these
ANSWER : 4
Descrption
<p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">Let, Tanya's age 16 years ago be x, </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">So grandfather's age 16 years ago = 8x.</p> <p><br style = "box - sizing: border - box; font - family: ProximaNova, Helvetica, Arial, sans - serif; font - size: 18px; background - color: #ffffff;" /><br style = "box - sizing: border - box; font - family: ProximaNova, Helvetica, Arial, sans - serif; font - size: 18px; background - color: #ffffff;" /></p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">8 years from now grandfather is three times of her age</p> <p> </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = > 3(x + 16 + 8) = (8x + 16 + 8)</p> <p> </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = > 3(x + 24) = (8x + 24)</p> <p> </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = > 3x + 72 = 8x + 24</p> <p> </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = > 5x = 48</p> <p> </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = > x = 48/5</p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">8 years ago ,the ratio was:</p> <p> </p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">x + 8)/(8x + 8) = 48/5 + 8/8*48/5 + 5</p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = 48 + 40/384 + 40 = 88/424</p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;"> = 11/53</p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">Therefore,</p> <p style = "box - sizing: border - box; margin: 0px 0px 8px; padding: 0px; min - height: 24px; font - size: 18px; line - height: 24px; font - family: ProximaNova, Helvetica, Arial, sans - serif; background - color: #ffffff;">the ratio of tanya's age to that of her grandfather = 11:53</p>
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