If 5 is added to the sum of the digits of a number consisting of two digits, the sum will be three times of the digit of the tens place. Moreover, if the places of the digits are interchanged, the number thus found will be 9 less than the original number. Find the number.

Ashifur August 8, 2023 - 08:10

Problem: If S is added to the sum of the digits of a number consisting of two digits, the sum will be three times of the digit of the tens place. Moreover, if the places of the digits are interchanged, the number thus found will be 9 less than the original number. Find the number.

View all: DHAKA BANK | WRITTEN QUESTION (MATH) SOLVE | 2016

Correct Answer: 43

Explanation:

Let, the unit digit = x and

The tenth digit = y

The number is 10y + x

According to the first condition of the question

(x + y) + 5 = 3y

x = 3y — y — 5

x = 2y — 5 ———— (i)

Again, after the digit is interchanged then, Unit digit will be y and tenth digit will be x and the interchanged number 10x + y.

According to the Second condition of the question(10y+x) – (10x +y) = 9

9y-9x= 9

=> 9(y-x) =9 x1

=> y—x = 1 [Divide both side by 9]

=> y—(2y— 5) =1 [From 1]

=> y—2y+5=l

=> y-2y=1—5

=> y=4

Putting the value of y in (i) we have,

x=2x(4)—5= 8—5=3

The number=10y+x=(10x 4)+3 =43.

Write Reply...

You should read | Topics/Questions

প্রমাণ করুন যে, যদি একটি দুইটি বাহু পরস্পর সমান হয়, তবে উহাদের বিপরীত কোণ দুইটিওপরস্পর সমান হইবে ।

ক ও খ এর মাসিক আয়ের গড় ৩০০ টাকা, থ ও গ এর মাসিক আয়ের গড় ৩৫০ টাকা এবং ক ও গ এর মাসিক আয়ের গড় ৩২৫ টাকা । ক এর মাসিক আয় কত?

According stuck policy of company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares. Employees belonging to \both communities get 25 shares each. There are 20 employees in the company, and. each one belongs to at least one division. The cost of each share is 10 Tk. If the technical division has 15 employees and the recruitment division has 10 employees. Then what is the total cost of the shares given by the company?

১৯৮১ সনে পৃথিবীর জনসংখ্যা ছিল 8,৪৯২ মিলিয়ন এবং জনসংখ্যা বৃদ্ধির হার ছিল ১.৭০% ৷ এই আলোকে প্রতিদিন জনসংখ্যা কতজন করে বৃদ্ধি পায়?

There are 50 students in a class of a unversity. Of these, 22 have taken an accounting course, 15 have taken a course in finance, and 14 have taken a marketing course. Nine of the students have taken exactly two courses, and one student has taken all three courses. How many of the 50 students have taken none of the courses?

In an MBA class the ratio of number of commerce graduates to the number of science graduates is 2 to 5. If 2 more commerce graduates enter the class the ratio becomes 1 to 2. How many commerce graduates are in the class?

Mr. Jones gave 40% of the money he had, to his wife. He also gave 20% of the remaining amount to each of his three sons. Half of the amount now \left was spent on miscellaneous items and the remaining amount of Tk. 12,000 was deposited in the bank. How much money did Mr. Jones have initially?

A manager has a budget of Tk. 60,000 for giving salary increment of 4 full-time and 2 part-time employees. Each of the full-time employees receives the same increment, Which is twice the increment that each of the part-time employees receive. What is the amount of the increment that each full-time employee receives?

যদি একটি ছক্কা একবার করা হয় তা হলে পাঞ্জা পাওয়ার সম্ভাবনা কত হবে?

If $\frac{a}{q-r}=\frac{b}{r-p}=\frac{c}{p-q}$ then show that, a+b+c = pa+qb+rc

Articles

0

Comments

0

Rating

0

Login