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The ratio between the present ages of Dheeraj and Raman is 2 : 3 respectively. Four years ago, the ratio between their ages was 5 : 8 respe…

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The ratio between the present ages of Dheeraj and Raman is 2 : 3 respectively. Four years ago, the ratio between their ages was 5 : 8 respectively. What will be Dheeraj?s age after 7 years ?
  • A29 years
  • B35 years
  • C31 years
  • D33 years
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Discussion 1

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let present age of dheeraj and aman be x and y.
the ratio= x/y= 2/3
on cross multiplying
3x=2y
x= 2y/3

DHEERAJ'S AGE FOUR YEARS AGO= (x-4)
RAMAN'S AGE FOUR YEARS AGO= (y-4)

x-4 = 5
y-4 = 8
again on cross multiplying
8(x-4)= 5(y-4)
8x-32=5y-20
8x-5y= -20+32=12 --------1
putting value of x in eq 1

8(2y/3) - 5y=12
16y/3-5y=12
taking lcm 3
(16y-15y) / 3 = 12
y=36

x= 2(36)/3=24

dheeraj 's age after 7 years= 24+7= 31 years
raman's age after 7 years= 36+7= 43years