Question

Anuj and binu's average age is 9 years 4 months and binu and chinnu's average age is 4 years 8 months. Calculate the age difference between anuj and chinnu.

Answer 1

Answer:

$\large\bold\red{9\:yrs.\:4\:months}$

Step-by-step explanation:

Let,

The ages of,

• Anuj = x yrs.
• Binu = y yrs.
• Chinnu = z yrs.

Now,

According to question,

Average age of Anuj and Binu is 9 yrs. 4 months.

Therefore,

$= > \frac{x + y}{2} = 9 + \frac{4}{12} \\ \\ = > \frac{x + y}{2} = 9 + \frac{1}{3} \\ \\ = > \frac{x + y}{2} = \frac{28}{3} \\ \\ = > x + y = \frac{28 \times 2}{3} \\ \\ = > x + y = \frac{56}{3} \: \: \: \: \: ........(1)$

Also,

Average age of Binu and Chinnu is 4 yrs. 8 months.

Therefore,

We get,

$= > \frac{y + z}{2} = 4 + \frac{8}{12} \\ \\ = > y + z = 2( \frac{48 + 8}{12} ) \\ \\ = > y + z = \frac{56}{6} \\ \\ = > y + z = \frac{28}{3}\: \: \: ........(2)$

Now,

Subtracting eqn (2) from eqn (1),

We get,

$= >( x + y )- (y + z) = \frac{56}{3} - \frac{28}{3} \\ \\ = > x + y - y - z = \frac{56 - 28}{3} \\ \\ = > x - z = \frac{28}{3} \\ \\ = > x - z = \frac{27 + 1}{3} \\ \\ = > x - z = 9 + \frac{1}{3} \\ \\ = > x - z = 9 + \frac{1 \times 4}{3 \times 4} \\ \\ = > x - z = 9 + \frac{4}{12}$

Hence,

The difference between ages of Anuj and Chinnu is 9 yrs. 4 months.

Answer 2

AnswEr :

⋆ Sum of Numbers = Average × Number

• First Part of the Question :

⇒ (Anuj + Binu) Average Age = 9 Years 4 month

⇒ Anuj + Binu = (9 Yr. 4 Month) × 2

⇒ Anuj + Binu = {(9 × 12) + 4 Month} × 2

• Changing it into Month

⇒ Anuj + Binu = (108 + 4) × 2

⇒ Anuj + Binu = 112 × 2

⇒ Anuj + Binu = 224 Months⠀⠀—eq.( I )

• Second Part of the Question :

⇒ (Binu + Chinnu) Average Age = 4 Years 8 month

⇒ Binu + Chinnu = (4 Yr. 8 month) × 2

⇒ Binu + Chinnu = {(4 × 12) + 8 Month} × 2

• Changing it into Month

⇒ Binu + Chinnu = (48 + 8) × 2

⇒ Binu + Chinnu = 56 × 2

⇒ Binu + Chinnu = 112 Months⠀⠀—eq.( II )

_________________________________

• Subtracting eq.( II ) from eq.( I ) :

⇝ Anuj + Binu = 224

⇝ Binu + Chinnu = 112

⠀-⠀⠀⠀ -⠀⠀⠀⠀⠀⠀ -

________________________

⇝ Anuj - Chinnu = (224 - 112) Month

⇝ Anuj - Chinnu = 112 Month

• Dividing it by 12 for changing in Year

⇝ Anuj - Chinnu = 9 Years 4 Month

∴ Difference Between the Age of Anuj and Chinnu will be 9 Years 4 Month.