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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.

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tanmayakumarp3

Answer:

28 years

Step-by-step 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)

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