Question

9. If A, B, C and D are four numbers such that
A:B= 2:3, B:C =4:5, C:D = 5:8, then A :D is
equal to​

Answer 1

Answer:

A:D=16:24

Step-by-step explanation:

Given,

A:B=2:3 ________(i)

B:C=4:5 ________(ii)

C:D=5:8 ________(iii)

Let in eq.(i)

A=2x and B=3x

Now, multiplying by 4 in eq.(i)

A=8x and B=12x

And, multiplying by 3 in eq.(ii)

B=12x and C=15x

So, A:B:C=8x:12x:15x

Again, multiplying by 3 in eq.(iii)

C=15x and D=24x

Therefore,

A:B:C:D=8x:12x:15x:24x

A:B:C:D=8:12:15:24

Thus, A:D=16:24

I HOPE IT HELPED YOU

Answer 2

Answer:

A:D=8:27

Step-by-step explanation:

AD=AB×BC×CD=23×45×59=2×4×53×5×9=827=8:27