Question

4years ago the average age of sakshi anjali and samriddhi was 32 years .6years ago the average age of anjali and samriddhi was 30 years find the present age of sakshi​

Answer 1

The present age of Sakshi is 36 years, if the average age of Anjali & Samriddhi 6 years ago was 30 years and the average age of Sakshi, Anjali and Samriddhi was 32 years

Step-by-step explanation:

Let the present ages of Sakshi, Anjali and Samriddhi be “x”, “y” & “z” years respectively.

Step 1:

Ages 4 years ago:

Sakshi’ age = x - 4

Anjali’s age = y - 4

Samriddhi’s age = z - 4

It is given that the average age of three of them 4 years ago was 32 years i.e.,  

$\frac{(x+y+z) - (4*3)}{3} = 32$

⇒ [x+y+z – 12] = 32 * 3

⇒  [x+y+z] = 96 + 12

⇒ [x+y+z] = 108 ……. (i)

Step 3:

Ages 6 years ago:

Anjali’s age = y - 6

Samriddhi’s age = z - 6

It is given that the average age of Anjali & Samriddhi 6 years ago was 30 years i.e.,  

$\frac{(y+z) - (6*2)}{2} = 30$

⇒ [y+z – 12] = 30 * 2

⇒ [y+z] = 60 + 12

⇒ [y+z] = 72 ……. (ii)

Step 3:

Therefore, subtracting (ii) from (i), we get

[x+y+z]- [y+z] = 108 – 72

⇒ x + y + z – y – z = 36

⇒ x = 36 years

Thus, the present age of Sakshi is 36 years.

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Answer 2

Answer:

36 years

Step-by-step explanation:

for explanation refer to the picture

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