Question : The ratio of a two-digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit's place is 3 more than the digit at the ten's place, then the number is:
Option 1: $47$
Option 2: $69$
Option 3: $36$
Option 4: $25$

Question

Question : The ratio of a two-digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit's place is 3 more than the digit at the ten's place, then the number is:

Option 1: $47$

Option 2: $69$

Option 3: $36$

Option 4: $25$

Team Careers360 · Accepted Answer

Correct Answer: $36$

Solution : Let us assume that the digits of the number are $x$ and $y$ with $x$ in the ten's place.
The number is $10x+y$.
The digit in the unit's place is 3 more than the digit in the ten's place, i.e. $y=x+3$ ...(1)
The ratio between the two-digit number and the sum of the digits of that number is $4 : 1$.
$(10x+y):(x+y) = 4:1$
or, $10x+y = 4x+4y$
or, $y = 2x$
Substituting in (1), we get $2x = x+3$
$x = 3, y = 6$
The number is $36$.
Hence, the correct answer is $36$.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Law Preparation

MBA Preparation

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Resources

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : The ratio of a two-digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit's place is 3 more than the digit at the ten's place, then the number is:Option 1: 47Option 2: 69Option 3: 36Option 4: 25

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC MTS

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : The ratio of a two-digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit's place is 3 more than the digit at the ten's place, then the number is:
Option 1: $47$
Option 2: $69$
Option 3: $36$
Option 4: $25$