x, y are positive integers, When x is divided by y, the remainder is 5 and $ x y $ = 5.20, what is value of x ?

ক) 130 — Solution: প্রশ্নে বলা হচ্ছে যে, x এবং y ধনাত্মক পূর্ণ সংখ্যা । x কে y দ্বারা ভাগ করলে ভাগশেষ থাকবে $5. x y = 5.20$ হলে x = ? আমরা জানি, ভাগফল = ( ভাজ্য - ভাগশেষ )  ভাজক => $5 = x - 5 y $ এখানে, ভাজ্য = x; ভাজক = y এবং ভাগশেষ = 5 $ x - 5 y = 5$ ......... (1) আবার দেয়া আছে, $ x y = 5.20$ ............... (2) সমীকরণ (2) হতে (1) নং বিয়োগ করি, $ x y - x - 5 y = 5.2 - 5$ => $ x - x + 5 y = 0.2$ => $ 5 y = 0.2$ => y = $ 5 0.2 = 25$ y = 25 অতএব, ভাজ্য = ভাজক  ভাগফল x = 25  5.2 = 130

x, y are positive integers, When x is div… | Answer

Subject

Bank Exam

Topic

Jamuna Bank Ltd. - Probationary Officer - 2017

x, y are positive integers, When x is divided by y, the remainder is 5 and $\frac{x}{y}$ = 5.20, what is value of x ?
Reading

ক)

130

খ)

155

গ)

330

ঘ)

425

Explanation

Solution: প্রশ্নে বলা হচ্ছে যে, x এবং y ধনাত্মক পূর্ণ সংখ্যা । x কে y দ্বারা ভাগ করলে ভাগশেষ থাকবে

5.\frac{x}{y} = 5.20

হলে x = ? আমরা জানি, ভাগফল = ( ভাজ্য - ভাগশেষ )

\div

ভাজক =>

5 = \frac{{x - 5}}{y}

এখানে, ভাজ্য = x; ভাজক = y এবং ভাগশেষ = 5

\frac{{x - 5}}{y} = 5

......... (1) আবার দেয়া আছে,

\frac{x}{y} = 5.20

............... (2) সমীকরণ (2) হতে (1) নং বিয়োগ করি,

\frac{x}{y} - \frac{{x - 5}}{y} = 5.2 - 5

\frac{{x - x + 5}}{y} = 0.2

\frac{5}{y} = 0.2

=> y =

\frac{5}{{0.2}} = 25

y = 25 অতএব, ভাজ্য = ভাজক

\times

ভাগফল x = 25

\times

5.2 = 130

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\times

\times

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x, y are positive integers, When x is divided by y, the remainder is 5 and xy\frac{x}{y}yx​ = 5.20, what is value of x ?Reading

x, y are positive integers, When x is divided by y, the remainder is 5 and xy\frac{x}{y}yx​ = 5.20, what is value of x ?

Explanation

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x, y are positive integers, When x is divided by y, the remainder is 5 and $\frac{x}{y}$ = 5.20, what is value of x ?
Reading

x, y are positive integers, When x is divided by y, the remainder is 5 and $\frac{x}{y}$ = 5.20, what is value of x ?