5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be

Question

5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be twice as old as Atu. What is the sum of their ages now?

A. 18
B. 24
C. 28
D. 35
E. 42

This is a  PS Butler Question

Check the links to other Butler Projects:

Data Sufficiency Butler  
  Critical Reasoning Butler  
  Reading Comprehension Butler  
  Data Insights Butler

ManifestDreamMBA · Answer

Ebu 
 Atu 
 Relation 
 
  C-5 
 E-5 
 A-5 
 E-5 = 3(A-5) 
 
  Current, C 
 E 
 A

C+3 
 E+3 
 A+3 
 E+3 = 2(A+3)

Solving 2 equations
3A-10 = 2A+3
A = 13

E = 2(A+3) - 3 = 29

A+E = 13+29 = 42

Missinga · Answer

5 years ago, (E-5)=3(A-5)
3 years from now, (E+3)=2(A+3) 
Solving above 2 equations, we get 
A=13 and E= 29 
So, A+E= 13+29=42

Answer:E

DrHetal · Answer

E-5=3(A-5) i.e. E-5 =3A-15
E+3=2(A+3) i.e. E+3=2A+ 6

On Solving , A=13 and E=29 , so E+A=42

hr1212 · Answer

(e-5) = 3(a-5) - (1)
(e+3) = 2(a+3) - (2)

e+a?

(1) - (2)

-8 = a - 21
a = 13
e = 29

Sum = 42

IMO: E

NextstopISB · Answer

Let Ebu's current age be E, and Atu's current age be A.

From the problem statement, we have two conditions:

1. Five years ago, Ebu was three times as old as Atu:
 E - 5 = 3(A - 5)

2. In three years, Ebu will be twice as old as Atu:
 E + 3 = 2(A + 3)

We can solve these equations step by step.

Step 1: Simplify the first equation*l

E - 5 = 3(A - 5)
E - 5 = 3A - 15
E = 3A - 10 ...(i)

Step 2: Simplify the second equation

E + 3 = 2(A + 3)
E + 3 = 2A + 6
E = 2A + 3 ...(ii)

Step 3: Equate equations (i) and (ii)

3A - 10 = 2A + 3
3A - 2A = 3 + 10
A = 13

Step 4: Substitute A = 13 into equation (ii) to find E**

E = 2A + 3
E = 2(13) + 3
E = 26 + 3
E = 29

Therefore, Ebu is 29 years old, and Atu is 13 years old.

The sum of their current ages is:
E + A = 29 + 13 = 42

Thus, the correct answer is 42.

Answer: E. 42

Gmat750aspirant · Answer

E-5=3(A-5) 
E-5 =3A-15
E+3=2(A+3)
E+3=2A+ 6
A=13 and E=29
E+A=42

5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

	Ebu	Atu	Relation
C-5	E-5	A-5	E-5 = 3(A-5)
Current, C	E	A
C+3	E+3	A+3	E+3 = 2(A+3)

GMAT Problem Solving (PS) Questions

5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards