Question

If a : b = 4 : 5, b : c = 3 : 4 and c : d = 6 : 7, then find the ratio a : b : c : d.

Answer 1

ANSWER

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Answer 2

Answer:

a : b : c : d = 36 : 45 : 60 : 70

Step-by-step explanation:

Enjoy how it goes:-

a : b = 4:5 .... (i) × 3

b : c = 3:4 .....(ii) ×5

After multiplying we get

(Note: LCM of 5 &3 = 15 so we try to multiply to get the same no. )

a : b = 12 : 15

b : c = 15 : 20

So, a : b : c = 12 : 15 : 20 ......(iii)×3

c : d = 6 : 7 .......... (iv)×10

( NB - First find LCM of 20 & 6 then get no. to multiply )

So, a : b : c = 36 : 45 : 60

c : d = 60 : 70

Thus ,

a : b : c : d = 36 : 45 : 60 : 70

Enjoy Maths!!

(SK Study Point Siliguri)