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NUS School Moderator V
Joined: 18 Jul 2018
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John and his dad were calculating the ratios of their ages.  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 56% (02:07) correct 44% (02:23) wrong based on 24 sessions

### HideShow timer Statistics John and his dad were calculating the ratios of their ages. Currently, John's dad is four times as old as John. Eight years later, John's dad will be two and half times of John's age. What will be the ratio of John and John's dad 32 years later?

1) 5:8
2) 1:4
3) 8:5
4) 4:7
5) 7:4

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Originally posted by Chethan92 on 21 Aug 2018, 10:32.
Last edited by Chethan92 on 21 Aug 2018, 23:04, edited 1 time in total.
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Joined: 02 Sep 2015
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John and his dad were calculating the ratios of their ages.  [#permalink]

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Let John's Dad be X and John be Y

1) X = 4Y -----------------------> Now
2) X+8 = 2.5(Y + 8) --------------> 8 years later
4Y + 8 = 2.5(Y + 8) ------------> substituting 1) in 2)
1.5Y = 12
Y = 8
so X = 32

3) (X + 32) /(Y+ 32) ---------------> 32 years later
(32 + 32) /(8 +32)
64 / 40
8/5

Edited:

This is wrong upto now the ratio is between John' dad to john and the question is other way.

Originally posted by magbot on 21 Aug 2018, 11:00.
Last edited by magbot on 22 Aug 2018, 10:38, edited 2 times in total.
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Re: John and his dad were calculating the ratios of their ages.  [#permalink]

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Afc0892 wrote:
John and his dad were calculating the ratios of their ages. Currently, John's dad is four times as old as John. Eight years later, John's dad will be two and half times of John's age. What will be the ratio of John and John's dad 32 years later?

1) 5:8
2) 1:4
3) 8:5
4) 4:7
5) 7:4

Hi Afc0892,

The answer should be A as the ratio of John & John's Dad = $$40/64.$$ = $$5/8$$
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NUS School Moderator V
Joined: 18 Jul 2018
Posts: 990
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: John and his dad were calculating the ratios of their ages.  [#permalink]

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rahul16singh28 wrote:
Afc0892 wrote:
John and his dad were calculating the ratios of their ages. Currently, John's dad is four times as old as John. Eight years later, John's dad will be two and half times of John's age. What will be the ratio of John and John's dad 32 years later?

1) 5:8
2) 1:4
3) 8:5
4) 4:7
5) 7:4

Hi Afc0892,

The answer should be A as the ratio of John & John's Dad = $$40/64.$$ = $$5/8$$

Edited, thanks

Posted from my mobile device
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Joined: 02 Aug 2009
Posts: 7763
Re: John and his dad were calculating the ratios of their ages.  [#permalink]

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Afc0892 wrote:
John and his dad were calculating the ratios of their ages. Currently, John's dad is four times as old as John. Eight years later, John's dad will be two and half times of John's age. What will be the ratio of John and John's dad 32 years later?

1) 5:8
2) 1:4
3) 8:5
4) 4:7
5) 7:4

present ratio ..
$$J:D = x:4x..$$

ratio after 8 years
$$J+8:D+8 = x+8:4x+8=1:2.5,.........\frac{x+8}{4x+8}=\frac{1}{2.5}=\frac{2}{5}..........5x+40=8x+16........x=8$$

ratio after 32 years
$$J+32:D+32 = x+32:4x+32=8+32:4*8+32=40:64=5:8..$$

A
_________________ Re: John and his dad were calculating the ratios of their ages.   [#permalink] 21 Aug 2018, 23:10
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# John and his dad were calculating the ratios of their ages.  