Latest m4maths Aptitude Question SOLUTION: If a(10b + c) = d(10e + f) = g(10h + i), find the value of a,b,c,d,e,f,g,h,i if value is beetween 1 to 9.

• Placement Papers
• /
• m4maths

m4maths Question Papers:

(#M40024325) M4MATHS question Keep an EYE

If
a(10b + c) = d(10e + f) = g(10h + i),
find the value of a,b,c,d,e,f,g,h,i
if value is beetween 1 to 9.

Asked In m4maths Salvador Pérez (10 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (6)   (4) Submit Your Solution

Read Solution (1) :

Salvador Pérez  (10 years ago)

Let k = a(10b + c) = d(10e + f) = g(10h + i).

k cannot be odd because then a, c, d, f, g and i have to be odd too. But there are only 5 odd vales between 1 to 9. So k is even and ( a or c) and (d or f) and (g or i) are even.
k cannot be multiple of 5 because then ( a or c) and (d or f) and (g or i) are even have to be multiple of 5. But there is only one multiple of 5 between 1 to 9.
I don't know how to continue this reasoning.
But with the help of Excel I discovered that the solution is:
k = 162 = 3(5·10 + 4) = 9(1·10 + 8) = 6 (2·10 + 7).

Is this solution Helpfull? Yes | No (4)  

Please Login to Read Solution.