# Alvin is 11 years older than Elga. The sum of their ages is 71 . What is Elga's age?

math!

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• 1 year ago

ley x - Alvis age

let y Elgas age

x = y + 11 eq1

x + y = 71 eq2

plug in eq1 to eq2

y + 11 + y = 71

2y + 11 = 71

2y = 71 - 11

2y = 60

y =30 <----------Elgas age

• 1 year ago

A + E = 71

A = E + 11

Hence

E = A - 11

Substitute

A + (A - 11) = 71

2A = 82

A = 42

E = 31

• 1 year ago

Let A and E be Alvin's and Elga's ages respectively.

A= E + 11

A + E = 71

A-E=11

2A=82

A=41

41+E=71

E=30

Elga is 30.

• Sky
Lv 7
1 year ago

I figured it out in my head in less than 10 seconds. If I can do it, you can do it.

• 1 year ago

If you took away the 11 year difference they would be the same age and the sum would be 60. Hence Elga is half that or 30.

Elga is 30 (and Alvin is 41)

• 1 year ago

A + E = 71 and A - E = 11 so E = (71 - 11)/2 = 30

Elga is 30 years old.

• Φ² = Φ+1
Lv 7
1 year agoReport

Thank you for asking this question. Now that over a month has passed, can you please award the Best Answer to whichever answer you find most deserving?

• keerok
Lv 7
1 year ago

Elga = x

Alvin = x+11

x+x+11 = 71

2x+11 = 71

2x = 71-11

2x = 60

x = 60÷2

x = 30

• Lv 7
1 year agoReport

You idiot - you'e showing off and at the same time you're helping someone cheat on their homework. What's wrong with you?

• 1 year ago

Alvin is 11 years older than Elga.

The sum of their ages is 71.

A + E = 71

A - E = 11

A = 41, E = 30

Elga is 30 years old.

• Lv 7
1 year agoReport

You idiot - you'e showing off and at the same time you're helping someone cheat on their homework. What's wrong with you?

• 1 year ago

Elga is 30.

Thumbs down? Are you stupid?

• oubaas
Lv 7
1 year ago

A-E = 11

A+E = 71

2A = 82

A = 41

E = 41-11 = 30

• oubaas
Lv 7
1 year agoReport

How dare you talk to me like that ??? Mind your own business...