Latest Exam Aptitude Question SOLUTION: lcm of two no is 630 and their hcf is 9.if sum of no is 153 then ratio of two no is options a)70 b)9 c)0.7 d)10/7 e)c or d

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(#M40038458) EXAM Category question lcm and hcf Keep an EYE

lcm of two no is 630 and their hcf is 9.if sum of no is 153 then ratio of two no is
options
a)70
b)9
c)0.7
d)10/7
e)c or d

Asked In Exam shiv pujan (9 years ago)

Unsolved Read Solution (3)

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RAKESH  (9 years ago)

e) c or d

if two numbers are x,y then
LCM(x,y)*HCF(x,y)= x*y
=> 630*9 = xy ------------(1)

given, x+y = 153 -----(2)
from (1)&(2)
x(153-x)=630*9
=> x^2 -153x + 90*63 = 0
=> (x-63)(x-90)=0
=> x = 63,90
(x,y)=(63,90)or(90,63)
ratio = 63/90 = .7 or 90/63 = 10/7

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sunil kumar  (9 years ago)

let the nos. be x and y
lcm*hcf=x*y

630 * 9 = x*y
x*y = 5670

x+y = 153

but let us check in options...since most of the options have 10 and 7 so let us take 10 and 7

the hcf is 9..we will multiply 9 by 10 and 9 by 7
we will get

90 and 63 and these values are satisfying the equations so

x=63
y=90

or we can also solve the equations by substitution method ;)

Is this solution Helpfull? Yes | No (1)  

Ajay Kumar Gupta  (9 years ago)

the nos. will ne 90 & 63
lcm=630,hcf=9,sum=153
so ratio is either 10/7 or 7/10
c or d

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