Question

if a:b=3:4andb:c=10:17,find a:c

Answer 1

hope it will help u friend

Answer 2

Answer:

Step-by-step explanation:

a:b = 3:4. b:c = 10:17

4a = 3b. 17b = 10c

4a - 3b = 0. 17b - 10c = 0

Simultaneous equations :-

4a - 3b = 0. -Eq.1

- 10c +17b = 0. - Eq.2

Multiplying eq.1 by 17 and eq.2 by 3 and adding them

68a - 51b = 0

-30c + 51b = 0

Therefore -51b and +51b get cut and we get :-

68a + (-30c) = 0

68a -30c = 0

68a = 30c

a:c = 30:68

a:c = 15:34

Ans.) a:c = 15:34