Question

The sum of the ages of Priyanka and Deepika is 34 years. Priyanka is 6 years older than Deepika, then both of them
Find the age.
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Answer 1

Answer :-

• Priyanka's age = 20 years
• Deepika's age = 14 years.

Step-by-step explanation :

To Find :-

• Age of Priyanka
• Age of Deepika

Solution :-

Given that,

• Sum of their ages = 34 years
• Priyanka is 6 years older than Deepika

Assumption: Let us assume,

• Priyanka's age as ( x + 6 ) years
• Deepika's age as x years

Therefore,

• x + ( x + 6 ) = 34

=> x + ( x + 6 ) = 34

=> x + x + 6 = 34

=> 2x + 6 = 34

=> 2x = 34 - 6

=> 2x = 28

=> x = 28/2

=> x = 14

• The value of x is 14.

Now, the age of Priyanka and Deepika are :-

• Age of Priyanka

We assumed Priyanka's age as ( x + 6 ) years,

=> ( x + 6 ) years

=> ( 14 + 6 ) years

=> 20 years

• Age of Deepika

We assumed Deepika's age as x years,

=> ( x ) years

=> 14 years

Hence,

• Priyanka's age = 20 years
• Deepika's age = 14 years.

Answer 2

☞Question :-

The sum of the ages of Priyanka and Deepika is 34 years. Priyanka is 6 years older than Deepika, then both of them, find their ages.

☞Solution :-

Given, Priyanka is 6 years older than Deepika and the sum of their ages is 34.

We have to find their ages individually.

⇢Let the unknown age of Deepika be m.

⇢Let the unknown age of Priyanka be m+6 [Since she is 6 years older than Deepika].

$\green \mapsto \sf x+(x+6)=34$

$\green \mapsto \sf x+x+6=34$

$\green \mapsto \sf 2x+6=34$

$\green \mapsto \sf 2x=34-6$

$\green \mapsto \sf 2x=28$

$\green \mapsto \sf x= \frac{28}{2}$

$\green \mapsto \sf x= \frac{\cancel{28}}{\cancel2}$

$\green \mapsto \sf x=14$

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Therefore,

⇨Deepika's age = x = 14 years

⇨Priyanka's age = x+6 = 14+6=20 years

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