A two-digit number has 3 as its unit's digit, | vedclass

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

Question

(C) Let the two-digit number be represented as $10x + 3$,where $x$ is the tens digit and $3$ is the units digit.According to the problem,the sum of th

Vedclass · Accepted Answer

$63$

Vedclass · Answer

(C) Let the two-digit number be represented as $10x + 3$,where $x$ is the tens digit and $3$ is the units digit.According to the problem,the sum of the digits is $\frac{1}{7}$ of the number itself.So,$x + 3 = \frac{1}{7}(10x + 3)$.Multiplying both sides by $7$,we get $7(x + 3) = 10x + 3$.$7x + 21 = 10x + 3$.Rearranging the terms to solve for $x$: $21 - 3 = 10x - 7x$.$18 = 3x$.$x = 6$.Therefore,the required number is $10(6) + 3 = 63$.

$A$ two-digit number has $3$ as its unit's digit,and the sum of its digits is $\frac{1}{7}$ of the number itself. The number is:

Similar Questions

The ratio between two numbers is $3:4$ and their sum is $420$. The greater of the two numbers is

$A$ number when divided by $357$ gives a remainder $37.$ By dividing the same number by $17,$ the remainder would be

$A$ number exceeds its two-fifths by $75$. The number is:

How many numbers up to $500$ are divisible by $23$?

How many numbers up to $100$ are divisible by $7$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module