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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Nitin is younger than Nishant by 5 years. Sum of their ages is 45. What is Nishants age? Let the ages of Nitin and Nishant be x years and y years respectively. - Algebra

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प्रश्न

Nitin is younger than Nishant by 5 years. Sum of their ages is 45. What is Nishants age?

Let the ages of Nitin and Nishant be x years and y years respectively.

Then, according to the question,

x = `square - 5`  .......(i)

and `x + square` = 45  .......(ii)

Substituting the value of x from equation (i) to equation (ii), we get

`square + square` = 45

`square - square` = 45

`square` = 45 + `square`

`square = square`

y = `square/2 = square`

Hence, the age of Nishant is `square` years.

बेरीज

उत्तर

Let the ages of Nitin and Nishant be x years and y years respectively.

Then, according to the question,

x = y – 5  .......(i)

and x + y = 45  .......(ii)

Substituting the value of x from equation (i) to equation (ii), we get

y – 5 + y = 45

2y5 = 45

2y = 45 + 5

2y = 50

y = `bb50/2` = 25

As a result, the age of Nishant is 25 years.

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