Question 70

Two numbers differ by 20. If their LCM is 240 and HCF is 20, then the greater number is:

Solution

Given,

LCM of two numbers = 240

HCF of two numbers = 20

Let two numbers are 20x , 20y

As given in question ,

20x - 20y = 20

Divide by 20

x - y = 1 ...............(i)

LCM of 20x , 20y = 20xy

20xy = 240 (given)

xy = $$\frac{240}{20}=20$$.................(ii)

By solving we get x = 4 , y =3

Two numbers are $$20\times\ 4=80\ \ ,\ \ \ 20\times\ 3=60$$

The greater number = 80

Hence, Option B is correct.

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Time Speed Distance Questions CAT Averages Questions CAT Time, Distance and Work Questions CAT Data Sufficiency Questions CAT Linear Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Puzzles Questions CAT Miscellaneous LR Questions CAT DI with connected data sets Questions CAT DI Miscellaneous Questions CAT Data change over a period Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Para Summary Questions CAT Grammar and Sentence Correction Questions CAT Miscellaneous Questions CAT Critical Reasoning Questions

Follow us on

Boost your Prep!

Download App