Question

Alvin's age is three times Elga's age. The sum of their ages is 108. What is Elga's age?

Answer 1

Alvin's Age is 81 and Elga's age is 27

Explanation:

let A be Alvin's age and E be Elga's age

A = 3 E (alvin's age is three times elga's age)

A + E = 108 ( the sum of their ages is 108)

3E + E = 108

4 E = 108

E= 108/4 = 27

A = 3E = 27*3 = 81

Answer 2

⭐ Let the Alvin's age be "a" and the Elga's age be "e".

⭐ If we carefully identify the question, we can get two hints provided in the question which can be framed into equations. They are,

• A = 3E ... (1)

(Alvin's age is 3 times the age of Elga's age)

• A + E = 108 ... (2)

(The sum of Alvin's and Elga's age is 108)

Substituting value of A i.e (A = 3E) in eqn (2) so as to get same variable and solve the eqn.

`\Rrightarrow\bf{a + e = 108}`

`\Rrightarrow\bf{3e + e = 108}`

`\Rrightarrow\bf{4e = 108}`

`\Rrightarrow\bf{e = (108)/(4) }`

`\Rrightarrow\bf{e = 27}`

Substituting value of (e = 27) in eqn (1),

`\Rrightarrow\bf{a = 3e}`

`\Rrightarrow\bf{a = 3 * 27}`

`\Rrightarrow\bf{a = 81}`

• Thus, the age of Alvin is 81 years and that if Elga is 27 years