Find the Numbers

[greatwhiteshark]

If the larger of two numbers were decreased by 349, then the two numbers would be the same. The sum of the two numbers is 735. Find the numbers.

 

[Gene]

The larger number is X.
The smaller number is X - 349.

 

[greatwhiteshark]

Gene

Got it. I can take it from here.

 

[Denis]

Re: Gene

Got it. I can take it from here.

Attaboy Janet; I'm proud of you

 

[imnerd]

is the answer 367.5?

 

[Denis]

is the answer 367.5?

No.

 

[greatwhiteshark]

No Is RIght

Why would the answer be 367.5 when the question is asking for two numbers?

Janet

 

[imnerd]

so what would be the answer?

 

[Guest]

If the larger of two numbers were decreased by 349, then the two numbers would be the same. The sum of the two numbers is 735. Find the numbers.

X=greater
Y=Smaller

X-349= Y, X-Y=349
X+Y=735
2X=1084
X= 1084/2
X= 542

X+Y= 735
542+Y=735
Y=735-542
Y=193

Therefore Y= 193 and X =542???I think that's right..or I might have messed on the first equation, not sure
-Anna

 

[Gene]

Exactly right, if a little wordy.
x+(x-349) = 735
2x=1084
x=542
x-349= 193
That's all that's really necessary to say.
----------------
Gene