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In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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01 Dec 2015, 03:28
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In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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01 Dec 2015, 05:03
In 1950, Let Richard's age = Ri Robert's age = Ro Ri = 4*Ro  1 In 1955, Ri + 5 = 3(Ro + 5) =>Ri + 5 = 3Ro + 15 =>Ri = 3Ro + 10  2 From equations 1 and 2 , 4Ro = 3Ro + 10 => Ro = 10 Ri = 40 Let the number of years needed from 1950 be x 40 + x = 2(10+x) = 20 + 2x => x = 20 Therefore , the year is 1970. Answer C
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In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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Updated on: 07 Dec 2015, 06:20
From the picture above we have 4r+5 = 3r + 15 Or, r = 10 Quote: In which year was Richard twice as old as Robert? Let the number of years be "x"
so, 40 + x = 2 ( 10 + x ) Or, 40 + x = 20 + 2x Or, x = 20 So, After 20 years from 1950 ie 1970 Richard will be twice as old as Robert.PS : Edited , all thanks to whitehalo
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Originally posted by Abhishek009 on 01 Dec 2015, 10:35.
Last edited by Abhishek009 on 07 Dec 2015, 06:20, edited 1 time in total.



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Re: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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01 Dec 2015, 17:24
In 1950: Ri = 4 Ro  eq1 In 1955: Ri +5 = 3(Ro+5)eq2
Thus in 1950, solving eq1 and eq2 Ro= 10 , Ri =40
Now for each year we can calculate: 1960: Ri = 50 , Ro =20 1965: Ri= 55, Ro=25 1970: Ri= 60, Ro = 30
Thus Ans:C



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Re: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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02 Dec 2015, 04:02
In 1950  Rich = 4 * Rob In 1955 i.e. 5 years later (Rich + 5) = 4 * (Rob + 5)  here replace the value of Rich as 4*Rob Age of Rich in 1950 = 40 Age of Rob in 1950 = 10 In YEAR  (Rich,Rob)In 1950  (40 ,10), In 1955  (45 ,15), In 1960  (50 ,20), In 1965  (55 ,25), In 1970  (60 ,30)  twiceOption C is the correct answer.
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Re: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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06 Dec 2015, 16:56
Abhishek009 wrote: From the picture above we have 4r+5 = 3r + 15 Or, r = 10 Quote: In which year was Richard twice as old as Robert? Let the number of years be " y "
so, 40 + x = 2 ( 10 + x ) Or, 40 + x = 20 + 2x Or, x = 20 So, After 20 years from 1950 ie 1970 Richard will be twice as old as Robert.i like your method of solving this question  simple and clean. one typo though.. Let the number of years be " y " but in your equations, it is x. thanks again!



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Re: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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07 Dec 2015, 06:21
whitehalo wrote: i like your method of solving this question  simple and clean. one typo though.. Let the number of years be " y " but in your equations, it is x.
thanks again! Edited , thanks for pointing out !!
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Re: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3
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16 Sep 2018, 22:59
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