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18 Dec 2019, 02:54
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (02:03) correct
38%
(02:36)
wrong
based on 80
sessions
History
Date
Time
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Not Attempted Yet
Ten years ago, Josh was three times as old as Tim. In five years, Josh will be 10 years more than twice as old as Tim. How old is Tim right now?
A. 20
B. 22
C. 25
D. 30
E. 35
A. 20
B. 22
C. 25
D. 30
E. 35
19 Dec 2019, 00:57
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Bunuel
Ten years ago, Josh was three times as old as Tim. In five years, Josh will be 10 years more than twice as old as Tim. How old is Tim right now?
A. 20
B. 22
C. 25
D. 30
E. 35
A. 20
B. 22
C. 25
D. 30
E. 35
It is all about making equation out of words..
Ten years ago, Josh was three times as old as Tim.
Let the ages be J and T.
So, ten years ago, the age were J-10 and T-10.
Thus (J-10)=3(T-10)......J=3T-20....(i)
In five years, Josh will be 10 years more than twice as old as Tim.
(J+5)=2(T+5)+10.......J+5=2T+10+10........J=2T+15...(ii)
Equating i and ii,
3T-20=2T+15.......T=35
E
19 Dec 2019, 09:44
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solve step by step
j-10 = 3(t-10)
j-3t=-20
j=3t-20
second part
j+5=10+2(t+5)
j+5=20+2t
3t-20=15+2t
t= 35
IMO E
j-10 = 3(t-10)
j-3t=-20
j=3t-20
second part
j+5=10+2(t+5)
j+5=20+2t
3t-20=15+2t
t= 35
IMO E
Bunuel
Ten years ago, Josh was three times as old as Tim. In five years, Josh will be 10 years more than twice as old as Tim. How old is Tim right now?
A. 20
B. 22
C. 25
D. 30
E. 35
A. 20
B. 22
C. 25
D. 30
E. 35
