Question

Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's age.

Answer 1

28 years old

Explanation:

100/4 = 25

The ages are consecutive even numbers,

so add 1 to and subtract 1 from 25.

Add 3 to and subtract 3 from 25.

Ages: 22, 24, 26, 28

Ashley is the oldest: 28 years old

Answer 2

28 years

Explanation:

Given conditions:

• Ashley is the oldest sibling
• There are four siblings
• Sum of their ages are consecutive even integers
• Sum of their ages is 100

To Find :

• Ashley's age.

Solution :

Let,

One of the siblings age be = x

So, the other siblings ages are = x+2, x+4 and x+6

Since,

Ashley is the oldest sibling so his age is x + 6

∴ By the problem,

=> x + (x+2) + (x+4) + (x+6) = 100

• (Now adding up the like terms we get)

=> 4x + 12 = 100

• (Transposing the like terms to same sides)

=> 4x = 100 - 12

• (Subtracting the like terms)

=> 4x = 88

• (Dividing both sides by 4)

=> x = 22

Now,

We got the age of the youngest one that is 22 years

As,

Ashley is the oldest sibling so his age is

= 22 + 6 = 28 years

Hence,

The age of Ashley is 28 years (Ans)