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The sum of the ages of Arunima and Kareena is 64 years. Arunima is 6 years older than Kareena. Find their present ages. - Mathematics

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Question

The sum of the ages of Arunima and Kareena is 64 years. Arunima is 6 years older than Kareena. Find their present ages.

Sum
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Solution

Here, let Kareena’s age = k and,

Arunima’s age = k + 6 (since Arunima is 6 years older),

According to the given condition (The sum of their ages is given as 64):

k + (k + 6) = 64

2k + 6 = 64

2k = 64 − 6

2k = 58

k = `58/2`

∴ k = 29

Thus, finding Arunima’s age:

Arunima’s age = k + 6

= 29 + 6

∴ Arunima’s age = 35

Hence, the present ages of Kareena and Arunima are 29 years and 35 years, respectively.

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Chapter 5: Simultaneous Linear Equations - EXERCISE 5B [Page 59]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 5 Simultaneous Linear Equations
EXERCISE 5B | Q 9. | Page 59
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