Question

1. The sum of ages of Priyanka and Deepika is 34 years . Priyanka is elder to Deepika by 6 years,then find their today's ages ?​

Answer 1

Answer:

Let Priyanka's present age is x yrs.

Then Deepika's present age is x−6 yrs.

Then according to the problem,

x+x−6=34

or, 2x=40

or, x=20.

So Priyanka's present age is 20 yrs

Answer 2

❒ Appropriate Question :

The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder than Deepika by 6years, then find their today's ages ?

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❒ Given :

The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder than Deepika by 6 years.

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❒ To Find :

Their present ages ?

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❒ Solution :

The sum of ages of Priyanka and Deepika is 34years

Priyanka is elder than Deepika by 6 years

Let,

• Deepika = x
• Priyanka = x+6

So,

$\tt⟹ \: x + x + 6 = 34$

$\tt⟹ \: 2x + 6 = 34$

$\tt⟹ \: 2x = 34 - 6$

$\tt⟹ \: 2x = 28$

$\displaystyle \tt⟹ \: x = \cancel \frac{28}{2} = 14$

$\displaystyle \tt⟹ \large \red{\: x = 14}$

$\bf \: ∴ \: x = 14$

$\bf \: ∴ \: x + 6 = 14 + 6 \\ \: \: \: \: \: \: \: \: \: \: = \bf20$

∵ ❛❛The present ages of Priyanka and Deepika is 20 and 14❜❜

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❒ Verification :

The sum of ages of Priyanka and Deepika is 34yrs

Where,

• Deepika = x = 14
• Priyanka = x+6 = 14+6 = 20

Here,

$\tt⟹ \: x + x + 6 = 34$

$\tt⟹ \: 14+ 20 = 34$

$\tt⟹ \: \boxed{ \tt34 = 34}$

∴ LHS = RHS

∴ Hence verified !!

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