Question

The ages of five children are 13 years, 16 years, 14years, * years, and
12 years respectively. If their average age is 14 years, then the value of x is :-
(1) 12 years
(2) 14 years (3) 15 years (4) 16 years
20​

Answer 1

${\bold\blue{Question}}$

The ages of five students are 16 years, 13 years, x years and 12 years. Their average age is 14 years, find the value of x.

${\bold\green{Solution}}$

• Number of terms = 5

• Sum of the terms = 55 + x

• Mean = 14

To find,

• value of x ?

we know that,

Average= Sum of terms/No. of terms

By putting the values, we have

➥14 = $\frac{16 + 13 + x +12 + 14}{5}$

➥14 = $\frac{55 + x}{5}$

➥14 × 5 = 55 + x

➥70 = 55 + x

➥x = 70 - 55

➥x = 15

∴ The value of x is 15 years.

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Answer 2

Answer:

15 years

Explanation:

55 + x /5 = 14

55 +x = 14 × 5

x = 70 - 55

x = 15