If Leo gains 10 pounds, he will weigh 50% more than his brother. Curre

Question

If Leo gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Leo's current weight?

A. 140 
B. 160 
C. 170 
D. 190 
E. 200

Kudos for a correct  solution .

BrentGMATPrepNow · Accepted Answer

Let L = Leo's CURRENT weight
Let B = his brother's CURRENT weight

Currently, their combined weight is 340 pounds  
We can write:  L + B = 340

If Leo gains 10 pounds, he will weigh 50% more than his brother  
In other words (10 pounds more than L) = (50% more than B)
Rewrite as:  L + 10 = 1.5B

What is Leo's current weight?   
We have: 
 L + B = 340 
 L + 10 = 1.5B

Take top equation and solve for B to get:  B = 340 - L 
Now take  L + 10 = 1.5B  and replace B with 340-L to get: L + 10 = 1.5(340 - L)
Expand right side to get: L + 10 = 510 - 1.5L
Add 1.5L to both sides: 2.5L + 10 = 510
Subtract 10 from both sides: 2.5L = 500
Solve: L = 500/2.5 = 200

Answer: E

Cheers,
Brent

Yash12345 · Answer

LEO current weight "L"
Brother's current weight "b"

L+b=340
b=340-L... eq 1

but we also know that 
L+10=1.5(B)
L+10=1.5(340-L).. from eq 1
L+10=510-1.5L
L=200

sunita123 · Answer

Given, L+B=340-- equation 1
and L+10=1.5B---euation2
By solving equation 1& 2
we will get B=140, so L=340-140-=200
(Here L=Leo's weight and B=Leo's brother's weight)

Answer is E

PareshGmat · Answer

Answer = E = 200

.......................... Leo .................... Brother ..................... Total

Current weight ........ x ......................... (340-x) ..................... 340

After gain .......... (x+10)

Given that  x+10 = \frac{150}{100} (340-x)

x = 200

EMPOWERgmatRichC · Answer

Hi All,

This question can be solved by TESTing THE ANSWERS.

We're told 2 things about the weight of Leo and his brother:
1) Their TOTAL weight is 340 pounds
2) If Leo gains 10 pounds, then he'll weight 50% more than his brother.

We're asked for Leo's current weight.

From the prompt, Leo likely weighs considerably more than his brother (right now). Since the total weight is 340 pounds, Leo should weight MORE than half of that. Thus Leo > 170. There are only 2 answers that "fit" this deduction...

Answer E seems like the easier option to deal with, so let's TEST that first....

If Leo = 200 pounds, then his brother weights 340 - 200 = 140 pounds.

If Leo gains 10 pounds, then he'll weight 200 + 10 = 210 pounds.

210/140 = 1.5 so Leo WOULD weight 50% more than his brother. Thus, Leo MUST weigh 200 pounds right now.

Final Answer:  E

GMAT assassins aren't born, they're made,
Rich

mahakmalik · Answer

Let Leo's weight be = Y
Let Brother's weight be =x
50% of Brothers weight =x/2
50% more means=x+x/2=3x/2

i.e y+10=3x/2 after gaining 10 pounds leo's weight is 50% more than brother's weight

and Y+X=340

we can solve both to get Y=200
solved it in 1 min.

give +1Kudos if liked it :-D

rhine29388 · Answer

let leo's weight be x pounds and his brother's weight be y pounds
as per second condition x + y = 340
as per first condition
x + 10 = 1.5y
x - 1.5y = -10
solving both equations we get x = 200 and y = 140
so Leo's current weight is 200 pounds
correct answer - E

colorblind · Answer

Given: L+B = 340
 L+10 = 1.5B

L+B = 340
Add 10 to both sides
(L+10) + B = 350
2.5B = 350
B = 140
L = 200

JeffTargetTestPrep · Answer

We can let Leo’s current weight = L and and his brother’s current weight = B.

We can create the equations:

L + 10 = 1.5B

L = 1.5B - 10

and

L + B = 340

Substituting, we have:

1.5B - 10 + B = 340

2.5B = 350

B = 140

So L = 1.5(140) - 10 = 200.

Answer: E

generis · Answer

Using answer choices works, too.

Start with C) 170

1) Leo gains 10 pounds:   (170+10)=180   lbs

Leo now weighs 50 percent more than his brother: 50 percent more than = 1.5 =  \frac{3}{2}B

2) Brother, B?
  \frac{3}{2}B = 180  lbs
 B=(180*\frac{2}{3})=120   lbs

3) Combined?
Leo + Brother:   (170+120)=290   lbs

Too low. Leo's initial weight must be greater (and hence his brother's weight will be greater, too)

Try E) 200

1) Leo gains 10 pounds:   (200+10)=210   lbs

Leo's weight now =  \frac{3}{2}B

2) Brother?
  \frac{3}{2}B=210 
 B=(210*\frac{2}{3})=140   lbs

3) Combined?
Leo + Brother =   (200+140)=340

That's a match

Answer E

LeoN88 · Answer

l+b=340
b=340-l

l+10 = b * (1.5)
substitute value of b,
l= 1000/5 = 200

bumpbot · Answer

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If Leo gains 10 pounds, he will weigh 50% more than his brother. Curre

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