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02 May 2024, 01:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
94% (01:01) correct
6%
(01:36)
wrong
based on 95
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Jack is 4 years older than Daniel. What are their ages now?
(1) 16 years ago, Jack was twice as old as Daniel.
(2) 18 years ago, Jack was 3 times as old as Daniel.
(1) 16 years ago, Jack was twice as old as Daniel.
(2) 18 years ago, Jack was 3 times as old as Daniel.
02 May 2024, 01:44
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IMO D.
Here we have to find out two un-knowns, ages of Jack and Daniel.
One information is given, the age difference between them.
If we form equations we would need two independent conditions(two information: one could not be derived from the other) to solve two un-known variable.( Here degree of both the unknowns are one).
So both A and B provide that missing condition/information.
So both independently should be able to answer the question.
So D
Here we have to find out two un-knowns, ages of Jack and Daniel.
One information is given, the age difference between them.
If we form equations we would need two independent conditions(two information: one could not be derived from the other) to solve two un-known variable.( Here degree of both the unknowns are one).
So both A and B provide that missing condition/information.
So both independently should be able to answer the question.
So D
02 May 2024, 05:59
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Let Jack = J and Daniel = D.
From the stem we can create the following equation: \(J = D + 4\)
If we can either get an age for one of them or get info with which we can create another equation with no new unknown variables we will be able to solve the question.
(1) 16 years ago, Jack was twice as old as Daniel.
This will give us an equation with the same variables and thus will be sufficient to solve the question.
The equation will be: \(J - 16 = 2(D - 16)\)
\(J + 16 = 2D\)
If we first rearrange \(J = D + 4\) to \(J - 4 = D\), and then subtract it from the equation that we got above we will get:
\(20 = D\) which means that \(J = 24\)
SUFFICIENT
(2) 18 years ago, Jack was 3 times as old as Daniel.
From this, we can can create the equation: \(J - 18 = 3(D-18)\) which expanded becomes: \(J + 36 = 3D\). Once again, as no new variables are present we can easily solve for the question.
Just to show how: Subtract \(J - 4 = D\) from \(J + 36 = 3D\) to get:
\(40 = 2D \)
\(D = 20\) and thus \(J = 24\)
SUFFICIENT
ANSWER D
From the stem we can create the following equation: \(J = D + 4\)
If we can either get an age for one of them or get info with which we can create another equation with no new unknown variables we will be able to solve the question.
(1) 16 years ago, Jack was twice as old as Daniel.
This will give us an equation with the same variables and thus will be sufficient to solve the question.
The equation will be: \(J - 16 = 2(D - 16)\)
\(J + 16 = 2D\)
If we first rearrange \(J = D + 4\) to \(J - 4 = D\), and then subtract it from the equation that we got above we will get:
\(20 = D\) which means that \(J = 24\)
SUFFICIENT
(2) 18 years ago, Jack was 3 times as old as Daniel.
From this, we can can create the equation: \(J - 18 = 3(D-18)\) which expanded becomes: \(J + 36 = 3D\). Once again, as no new variables are present we can easily solve for the question.
Just to show how: Subtract \(J - 4 = D\) from \(J + 36 = 3D\) to get:
\(40 = 2D \)
\(D = 20\) and thus \(J = 24\)
SUFFICIENT
ANSWER D
