Question

Two numbers add to 238 and the first is 34 bigger than the second. What are the two Numbers?

Answer 1

algebra language for numbers a,b:
a + b = 238
a = b + 34
factorizing:
a + b = 238
a - b = 34
adding one equation to the other:
a + b = 238
a - b = 34
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2a + 0 = 272
a = 136
substitute this in the original equation:
a - b = 34
b = a - 34 = 136 - 34
b = 102
the numbers are 102 and 136