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Two numbers add to 436 and the first is 134 bigger than the second. What are the two numbers?

Respuesta :

Setor9
Let x= the second number.
Let x+134=the first number.
436=x+x+134
436=2x+134
436-134=2x+134-134
302=2x
302/2=2/2x
151=x

First number = x+134
.....................=151+134
                       285
Second number=151

Simply, the numbers are 285 and 151

The two numbers are 151 and 285.

To determine the two numbers, let’s use two values to represent the two numbers

  • The smaller number = N
  • The bigger number = M

Further Explanation

Therefore, you have:

N + M = 436

N + 134 = M

Now, you have to substitute the second equation into the first equation, therefore you have:

N + (N + 134) = 436

2N + 134 = 436

2N = 436 – 134

2N = 302

N = 302/2

N = 151

Thus, the smaller number is 151

To determine the bigger number (M), you have to substitute the value derived into the (N + 134 = M) second equation.

Therefore, you have:

151 + 134 = M

M = 285

To prove:

285 – 151 = 134

285 + 151 = 436

Therefore, the two numbers are 151 and 285.

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KEYWORDS:

  • two numbers
  • 436
  • 134
  • add to 436
  • bigger than the second