Two numbers are in the ratio 5 : 7. If their L.C.M. is 175. what is product of the numbers?

M4maths Previous Puzzles

26 Jun 2018 LCM

Two numbers are in the ratio 5 : 7. If their L.C.M. is 175. what is product of the numbers?

OPtion

1) 775
2) 810
3) 840
4) 675
5) 710
6) 875
7) 910
8) 945
9) 980
10) None of these

Solution

Let the numbers be 5x and 7x
LCM of 5x and 7x is 35x

So as per question 35x = 175
=> x= 5

5x = 25 and 7x = 35

Product = 875

Correct Option: 6 Best Solution (20)

G.S.Kantharao   6 years AGO

Numbers are =5x,7x
L.C.M=35x=175
x=5
Numbers are=25,35
Product=25*35=875
Right option is 6👈

Like? Yes (2) | No   

harshitha   6 years AGO

let, the numbers are 5x, 7x
then 35x=175
x=5
the ans is 5x*7x=35*X*X=35*25=875

Like? Yes (1) | No   

RAGHADEVI A   6 years AGO

2 numbers are in ratio 5:7 so 2 numbers are 5x,7x
from above we find that HCF is x
product of 2 numbes=HCF*LCM
5x * 7x =175 * x
so x=5
from x, we find product =5x * 7x=875

Like? Yes (1) | No   

Varun   6 years AGO

LCM of 5 and 7 = 35
175/35 = 5
So, 5*5 = 25, 7*5=35
So 25*35 = 875
= Option (6)

Like? Yes | No   

ARINJOY GHOSH   6 years AGO

let the numbers be 5k &7k.
L.C.M.=35k & product=35k^2
now,35k=175 so,k=5
product=35*5^2=875

Like? Yes | No   

ruby   6 years AGO

Lets take the numbers are 5x, 7x
LCM is 175
LCM of 5x and 7x is 35x
35x=175----> x=5
Numbers are 25 and 35
Product is 25*35 = 875

Like? Yes | No   

Kariamal   6 years AGO

Product of two number= lcm*hcf
5a*7a=175*a
a=5
So,25*35=875

Like? Yes | No   

YN   6 years AGO

LCM of 5x and 7x is 35x
But, 35x = 175
Therefore, x=5
Hence the numbers are, 5 x 5 = 25, 7 x 5 = 35
The product of the numbers are, 25x35= 875

Like? Yes | No   

SAYAN CHATTERJEE   6 years AGO

Let the nos be 5x and 7x..hence the LCM be 35x = 175.
So, x= 5.
The nos. are 25 & 35.
Hence, the product is 25*35 = 875.
Option 6.

Like? Yes | No   

Titir Misra   6 years AGO

Let the numbers be 5x and 7x. So, their LCM becomes = 35x
So, 35x=175
x=5
So, the numbers are 25 and 35. Product of 2 numbers = 25*35 = 875

Like? Yes | No   

Srinivas   6 years AGO

Let numbers be 5x, 7x then their LCM = 35x
35x=175 so x=5
numbers are 5*5,7*5 ==> 25,35
product of numbers is 25*35 = 875

Like? Yes | No   

Deepika   6 years AGO

175=5*7*x
175=35*x
x=5
the respective number is 25,35.hense product of the number is 875

Like? Yes | No   

soundarya.R   6 years AGO

the number 875 is divided by 115,5 and 7.other numbers not satisfy this condition so 875 is the answer

Like? Yes | No   

karan   6 years AGO

let x is number
5x:7x
getting lcm =35x
lcm=35x
175=35x
x=5.
so it is also divisble by 7
lets take value of x in 5x and 7x
25×35=785

Like? Yes | No   

Aditya Ranjan   6 years AGO

5x * 7x =175
35x=175
x=5
so,
5*5=25
and 7*5=35
are two numbers
25*35=875

Like? Yes | No   

Aravindh   6 years AGO

35x=175 so x=5..then numbers are 25 and 35...so their product are 875.

Like? Yes | No   

Ch Ramya   6 years AGO

25*35=875

Like? Yes | No   

Vishnuvarthini K   6 years AGO

Product of two numbers is 875

Like? Yes | No   

Sangeetha S   6 years AGO

The product of two numbers are 875

Like? Yes | No   

Puviyarasi   6 years AGO

5x:7x
X=5
5*5=25
7*5=35
25*35=875

Like? Yes | No