Exam
Maths Puzzle
Category
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
Read Solution (Total 3)
-
- 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
- 10 years agoHelpfull: Yes(5) No(0)
- 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 ;) - 10 years agoHelpfull: Yes(0) No(1)
- the nos. will ne 90 & 63
lcm=630,hcf=9,sum=153
so ratio is either 10/7 or 7/10
c or d - 10 years agoHelpfull: Yes(0) No(0)
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