Question

The LCM of two numbers is 90 times there HCF. The sum of LCM and HCF is 1456. If one of the number is 160. Find the another number.

Answer 1

Answer:

Let the other number be x

Given:LCM+HCF=1456

90HCF+HCF=1456

91HCF=1456

HCF=1456/91

HCF=16

LCM=90x16=1440

Since HCFxLCM=Product of two numbers

16x1440=160*x

ie x=1440*16/160

x=144

Answer 2

Answer:

144

Step-by-step explanation:

let the other no. be A

as per the question

lcm = 90 x hcf. eq1

and

lcm + hcf = 1456

lcm = 1456 - hcf eq2

comparing the 2 equations above

=> 90 hcf = 1456 - hcf

=> 91 hcf = 1456

=> hcf = 16

from eq 1

lcm = 90 x 16 = 1440

we know

lcm x hcf = 160 x A

=> (1440 x 16)/160 = A

=> A = 144