GMAT Club World Cup 2022 (DAY 1): On a 2022 World Cup De Bruyne,

Let scores by each players be:
De Bruyne: x - 27
Ronaldo: x - 22
Mbappe: x - 20
Messi: x - 18

Total goals = x = (x-27)+(x-22)+(x-20)+(x-18)
Solving, x = 29.
Messi = x - 18 = 11.
Option C

Answer C
R+D+Mb+Me=X
R=X-22
D=X-27
Mb=X-20
Me=X-18

We got 4X-87=X which is X = 87/3 = 29
And we can get Messi =29-18 = 11
Thus, the answer is C

KDB + R + KM + LM = x

Given equations:
R + KM + LM = 27
KDB + KM + LM = 22
KDB + R + LM = 20
KDB + R + KM = 18

Adding them up:
3 (KDB + R + KM + LM) = 87

KDB + R + KM + LM = 29 (value of x)

LM = 29 - (KDB + RM + KM)
LM = 29 - 18

LM = 11

Option C

De Bruyne = d, Ronaldo = r, Mbappe = mb and Messi = m
r + mb + m = 27
d + mb + m = 22
d + r + m = 20
d + r + mb = 18
Sum these equations:
3 * (d + r + mb) = 87
d + r + mb + m = 29
18 + m = 29
m = 11
C)

Total number of goals scored by all the players = X

Goals scored by De Bruyne = X - 27
Goals scored by Ronaldo = X - 22
Goals scored by Mbappe = X - 20
Goals scored by Messi= X - 18


Therefore we get the equation :

X - 27 + X - 22 + X - 20 + X - 18 = X [i.e, total goals scored]

X = 29

Therefore goals scored by Messi = 29 - 18 = 11 (option C)

Ronaldo - R, De Bruyne - D, Mbappe - M, Messi - L

Goals 'not scored' by a certain player = goals scored by all other player. Hence we get the below equations
R + M + L = 27
D + M + L = 22
D + R + L = 20
D + R + M = 18

Adding all equations we get - 3 ( D + R+ M + L) = 87,
D + R + M + L = 27,
L = 27 - (D + R +M) = 27 -18 = 9 (Answer)

Let the number of goals scored by De Bruyne = p
Let the number of goals scored by Ronaldo = q
Let the number of goals scored by Mbappe = r
Let the number of goals scored by Messi= s

Ques s ?

Given
q + r +s = 27
p + r +s = 22
p + q +s = 20
p + q + r = 18

Adding the above equations we get

3(p+q+r+s) = 87

p + q + r + s = \(\frac{87}{3}\) = 29

s = 29 - 18

s = 11

Option C

If you add all the 4 items you'll get a sum that is 3 times the number of goals scored by all players.
((Total - Messi)+(Total-Ronaldo)+(Total-Mbappe)+(Total-De Bruyne)) =4×Total - (Messi+Ronaldo+De Bruyne+ Mbappe)

Which in turn is equal to 4× Total - (Total) = 3× Total.

Divide this sum you get by addition of all the given values by 3 and you have the Toal number of goals, from this substract the goals not scored by Messi and you will get the answer

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On a 2022 World Cup De Bruyne, Ronaldo, Mbappe and Messi together scored x goals. Out of these, 27 goals were not scored by De Bruyne, 22 goals were not scored by Ronaldo, 20 goals were not scored by Mbappe and 18 goals were not scored by Messi. How many goals did Messi score ?

We are given that De Bruyne, Ronaldo, Mbappe and Messi together scored x goals
Assigning variables. Let De Bruyne = A; Ronaldo=B; Mbappe=C; Messi=D

So, A+B+C+D = x

Now, we are told that 27 goals were not scored by De Bruyne. So the rest scored 27 goals.
So, B+C+D=27. Similarly,
A+C+D = 22
A+B+D = 20
A+B+C= 18

Summing them all, 3A + 3B +3C + 3D = 87
A+B+C+D = 27. We have x now!

Now, we need to know the score of Messi (D)
D= x-(A + B+C)
D=27-18 = 9

On a 2022 World Cup De Bruyne, Ronaldo, Mbappe and Messi together scored x goals. Out of these, 27 goals were not scored by De Bruyne, 22 goals were not scored by Ronaldo, 20 goals were not scored by Mbappe and 18 goals were not scored by Messi. How many goals did Messi score ?

A. 7
B. 9
C. 11
D. 13
E. 29


Suppose, scores of De Bryune = p
Ronaldo = q
Mbappe = r
Messi = s

Given, p + q + r + s = x

also, De Bryune did not score 27 runs; so q + r + s = 27
also, Ronaldo did not score 22 runs; so r + s + p = 22
also, Mbappee did not score 20 runs; so s + p + q = 20
also, Messi did not score 18 runs; so p + q + r = 18

Adding the 4 equations, we get 3 (p+q+r+s) = 87
so, p+q+r+s = 29

Thus, p+q+r+s = 29
and p+q+r = 18

From the aforementioned two equations, we get s = 11
ie, Messi scored 11 goals

(C) is the correct answer

Hope this helps..

giving a try
goals scored by Messi = 27+22-(20+18) ; 11
option C

X = X-27+x-22+x-20+x-18 ... Solve same to get answers 11

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We have the below from the question

Total goals are X.

Now finding the goals scored by each as follows

DrBryune = X - 27 goals
Ronaldo = X - 22 goals
Mbappe = X - 20 goals
Messi = X - 18 goals

Adding all of these should get the overall goals scored 'X'. Hence

X - 27 + X - 22 + X - 20 + X - 18 = X
=> 4X - 87 = X
=> 3X = 87
=> X = 29

Now total goals scored are 29. Hence Messi scored X - 18 goals = 29 - 18 = 11 goals

IMO Option C

My answer is (C) - 11

Let Db, R, Mb, and Me be the scores for De Bruyne, Ronaldo, Mbappe and Messi, respectively.

x = Db + R + Mb + Me
R+Mb+Me=27
Db+Mb+Me=22
Db+R+Me=20
Db+R+Mb=18

So 3x = 27+22+20+ 18 = 87
x = 29

Me = x - (Db+R+Mb) = 29-18=11

r+mb+m=27 --1
d+mb+m=22--2
d+r+m=20--3
d+r+mb=18--4

r-d=5--Solving 1 and 2--5
d+r+m=20--3
2r+m=25--Solving 3 and 5--7
m-d=9 --Solving 1 and 4--6
r-d =5
m-r=4 -- Solving 5 and 6--8
2r+m=25
m=11 - solving 7 and 8

Let goals scored by DeBruyne = D
Let goals scored by Ronaldo = R
Let goals scored by Kylian Mbappe = MB
Let goals scored by Messi = M

D+R+MB+M = x (Total goals scored by all 4)

27 goals were not scored by De Bruyne, which implies that 27 goals were scored by the other 3 apart from De Bruyne

Eq1: R+MB+M = 27

22 goals were not scored by Ronaldo, which implies that 22 goals were scored by the other 3 apart from Ronaldo

Eq2: D+MB+M = 22

20 goals were not scored by Mbappe, which implies that 20 goals were scored by the other 3 apart from Mbappe

Eq3: D+R+M = 20

18 goals were not scored by Messi, which implies that 18 goals were scored by the other 3 apart from Messi

Eq4: D+R+MB = 18

So, now we have 4 equations and summing all 4 equations we get

3D+3R+3MB+3M = 87
3{D+R+MB+M} = 87
So D+R+MB+M = x = 29

Now:

Goals not scored by De Bruyne = 27, so Goals scored by De Bruyne = 29-27 = 2
Goals not scored by Ronaldo = 22, so Goals scored by Ronaldo = 29-22 = 7
Goals not scored by Mbappe = 20, so Goals scored by Mbappe = 29-20 = 9

Goals not scored by MESSI = 18, so Goals scored by MESSI = 29-18 = 11

Answer - C

Let consider total score x

With out messi score : x-18

So add total

4x-87=x

3x=87

x=29

So x-m=18
m=11

IMO C

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