Question

Alvin is 14 years older than elga's The sum of their ages is 114 what is elga'ss age

Answer 1

This is a question on “word problems on linear equations “

Step by step explanation

Let Alvin age be represented by A
Let Elga age be represented by E

A + E = 114

But Alvin is 14yrs older than Elga
A = E + 14

We will use A= E + 14 in the equation

A + E = 114
( E + 14) + E = 114
Collect like terms
E + 14 + E = 114
E + E + 14 = 114
2E + 14 = 114
2E = 114 -14
2E = 100
Divide both sides by 2
E = 100 ➗ 2
E= 50

But A= E + 14
A= 50 + 14
A= 64

So therefore Alvin’s age is 64 years but Elga’s age is 50