A certain two-digit number is three times the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the two-digit number be represented as $10x + y$,where $x$ is the tens digit and $y$ is the units digit.According to the first condition,the n

Vedclass · Accepted Answer

$27$

Vedclass · Answer

(B) Let the two-digit number be represented as $10x + y$,where $x$ is the tens digit and $y$ is the units digit.According to the first condition,the number is three times the sum of its digits:$10x + y = 3(x + y)$$10x + y = 3x + 3y$$7x = 2y$$\frac{x}{y} = \frac{2}{7}$This implies $x = 2$ and $y = 7$ (since $x$ and $y$ are single digits).Thus,the number is $27$.Verification with the second condition:If $45$ is added to the number $27$:$27 + 45 = 72$Here,the digits $2$ and $7$ are reversed to become $72$.Therefore,the number is $27$.

$A$ certain two-digit number is three times the sum of its digits. If $45$ is added to the number,the digits are reversed. Find the number.

Similar Questions

$\frac{16}{24} + \frac{4}{10} - \frac{1}{6} = ?$

$24$ is divided into two parts such that $7$ times the first part added to $5$ times the second part makes $146$. The first part is

The sum of the digits of a two-digit number is $15$ and the difference between the digits is $3$. What is the two-digit number?

There are two numbers such that the sum of twice the first number and thrice the second number is $100$ and the sum of thrice the first number and twice the second number is $120$. Which is the larger number?

Thrice the square of a natural number decreased by $4$ times the number is equal to $50$ more than the number. The number is

Vedclass Test Series

Exam Paper Generator

Online Exam Module