Question

Addition of three numbers is 121 ratio of second and third number is 9:6 and ratio of first and third is 1:4 find second number?

Answer 1

Let three numbers are A, B, C

A + B + C = 121

B : C = 9 : 6 = 3 : 2

B : C = 3 : 2

2B = 3C

B = 3C/2

A : C = 1 : 4

4A = C

A = C/4

A : B : C = C/4 : 3C/2 : C

= 1/4 : 3/2 : 1

= 1/4 : 6/4 : 4/4

= 1 : 6 : 4

Let A = 1x

B = 6x

C = 4x

x + 6x + 4x = 121

11x = 121

x = 11

A = 11

B = 6(11) = 66

C = 4(11) = 44

The three numbers are 11,66 and 44

Answer 2

heya

here is ur answer

ANSWER:

let three numbers be X,Y,Z

Y:Z=9:6

Y=9Z/6

given

X:Z=1:4

X=Z/4

let us find X:Y:Z

Z/4:9Z/6:Z

=1:6:4

let the numbers be a,6a,4a

as per given

a+6a+4a=121

a=11

numbers are 11,66,44

hope helps u *_*