Alvin is seven years older than elga the sum of their ages is 95 what is elga ‘s age?

Answer 1

Let's use the variable e to represent Elga's age. Since Alvin is 7 years older than Elga, we write the following expression to represent Alvin's age: e + 7

The problem tells us that the sum of their ages is 95. Therefore we can write the following equation for the sum:

Elga's age + Alvin's age = 95

Then, using our variable expressions:

e + e + 7 = 95

Now use combining like terms and inverse operations to solve the equation:

e + e + 7 = 95

2e + 7 = 95

2e + 7 - 7 = 95 - 7

2e = 88

2e/2 = 88/2

e = 44 Elga is 44 years old

Alvin is 7 years older or 44 + 7 = 51 years old

The sum of their ages is 44 + 51 or 95 years.