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Gnesinka [82]
2 years ago
11

Alvin is 11 years older than Elga. The sum of their ages is 107. What is Elga's age? ​

Mathematics
1 answer:
VLD [36.1K]2 years ago
7 0
<h3>Taking into account that their ages are:</h3>
  • Alvin=.....................x+11
  • Elga=.......................x
<h3>x + 11 + x = 107</h3>

Step 1: Simplify both sides of the equation.

<h3>x + 11 + x = 107</h3>

(x + x) + (11) = 107 (Combine Like Terms)

<h3>2x + 11 = 107</h3>

Subtract 11 from both sides.

<h3>2x + 11 − 11 = 107 − 11</h3><h3>2x = 96</h3>

Divide both sides by 2.

<h3>2x/2 = 96/2</h3><h3>x = 48</h3>

Answer: Olga's age is 48 years.✅

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