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Math Expert V
Joined: 02 Sep 2009
Posts: 61510
John and his dad were calculating the ratios of their ages. Currently  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 71% (02:13) correct 29% (02:14) wrong based on 41 sessions

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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?

A. 5:8
B. 1:4
C. 8:5
D. 4:7
E. 7:4

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GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5920
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: John and his dad were calculating the ratios of their ages. Currently  [#permalink]

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given
d=4j
d+8= 2.5(j+8)
4j+8=2.5j+20
j=8
d= 32
after 32 years ; 40/64 ; 5:8
IMO A

Bunuel 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?

A. 5:8
B. 1:4
C. 8:5
D. 4:7
E. 7:4

Are You Up For the Challenge: 700 Level Questions
VP  P
Joined: 24 Nov 2016
Posts: 1242
Location: United States
Re: John and his dad were calculating the ratios of their ages. Currently  [#permalink]

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Bunuel 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?

A. 5:8
B. 1:4
C. 8:5
D. 4:7
E. 7:4

Are You Up For the Challenge: 700 Level Questions

$$d=4j…d+8=2.5(j+8)…4j+8=2.5j+2.5(8)…1.5j=8(2.5-1)…(j,d)=(8,32)$$
$$d+32/j+32=40/64=10/24=5/8$$

Ans (A)
e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3256
Re: John and his dad were calculating the ratios of their ages. Currently  [#permalink]

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Solution

Given
• John's dad is four times as old as John
o So, if John is x years old then John’s dad is 4x years old.
• Eight years later, John's dad will be two and half times of John's age
o Eight year later, the age of John = x + 8
o Eight year later, the age of John’s father = 4x + 8
o 4x + 8= 5/2 (x+8)
To find
• The ratio of John and John's dad 32 years later
Approach and Working out
• 4x + 8= 5/2 (x+8)
• 8x + 16 = 5x + 40
• 3x = 24
• x = 8
• 4x = 32
32 years later, the age of john = 40 and his father’s age = 64
• Ratio = 40 : 64 = 5 : 8

Thus, option A is the correct answer.
_________________ Re: John and his dad were calculating the ratios of their ages. Currently   [#permalink] 25 Nov 2019, 19:15
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# John and his dad were calculating the ratios of their ages. Currently  