Summands 7380

Divide the number 4600 into two summands so that one summand is 700 larger than half of the other summand.

Correct answer:

a =  2000
b =  2600

Step-by-step explanation:


a+b=4600
a = 700 + b/2

a+b = 4600
2a-b = 1400

Pivot: Row 1 ↔ Row 2
2a-b = 1400
a+b = 4600

Row 2 - 1/2 · Row 1 → Row 2
2a-b = 1400
1.5b = 3900


b = 3900/1.5 = 2600
a = 1400+b/2 = 1400+2600/2 = 2000

a = 2000
b = 2600

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