Question

Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of them?

Answer 1

Given :

• Dan is 8 years older than Fiona.

• Gavyn is 9 years younger than Fiona.

• The total of their ages is 56.

To find :

• The eldest of them = ?

Step-by-step explanation :

Let, the Fiona age be x.

Dan is 8 years older than Fiona,

So, Dan's age = x + 8

Gavyn is 9 years younger than Fiona,

So, Gavyn's age = x - 9

According to the question :

➻ (x) + (x + 8) + (x - 9) = 56

➻ x + x + 8 + x - 9 = 56

➻ x + x + x + 8 - 9 = 56

➻ 3x - 1 = 56

➻ 3x = 56 + 1

➻ 3x = 57

➻ x = 57/3

➻ x = 19.

Therefore, We get the value of, x = 19.

Therefore,

Dan's age, x + 8 → 19 + 8 = 27 year's

Gavyn's age, x - 9 → 19 - 9 = 10 year's

So, The eldest of them is Dan by 27 years.

Answer 2

QUESTION:-

Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of them?

SOLUTION:-

=> Let assume that,

•Fiona's age = R years.

•Dan 's age = R + 8 years.

•Gravyn's age = R - 9 years.

Now, we have to find value of R.

=> Since, Fiona's age + Dan 's age + Gravyn's age = 56

=> R + R + 8 + R - 9 = 56

=> 3R + 8 - 9 = 56

=> 3R - 1 = 56

=> 3R -1 + 1 = 56 + 1 ------> (Add 1 on each sides).

=> 3R = 57

=>.°. R = 19.

Now, put value of R in their ages.

=>.°.Fiona's age = R = 19years.

=>.°. Dan 's age = R + 8 = 19 + 8 = 27years.

=>.°. Gravyn's age = R - 9 = 19 - 9 = 10years.

Hence, the elderest of them is Dan by 27years.

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