Advertisements
Advertisements
Question
If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.
Advertisements
Solution
To compare 3 ratios, the consequent of the first ratio and the antecedent of the 2nd ratio must be made equal.
Given that A : B = 2 : 5 and A : C = 3 : 4
Interchanging the first ratio, we have,
B : A = 5 : 2 and A : C = 3 : 4
L.C.M of 2 and 3 is 6
`=>` B : A = 5 × 3 : 2 × 3 and A : C = 3 × 2 : 4 × 2
`=>` B : A = 15 : 6 and A : C = 6 : 8
`=>` B : A : C = 15 : 6 : 8
`=>` A : B : C = 6 : 15 : 8
APPEARS IN
RELATED QUESTIONS
Find the compound ratio of 2a : 3b, mn : x2 and x : n
If (x + 3) : (4x + 1) is the duplicate ratio of 3 : 5, find the value of x.
State true or false :
A ratio of 250 gm and 3 kg is 1 : 12.
In the example below, find the ratio of the first number to the second.
52, 65
Find the compounded ratio of: (a – b) : (a + b), (a + b)2 : (a2 + b2) and (a4 – b4) : (a2 – b2)2
Find two numbers in the ratio of 8 : 7 such that when each is decreased by , they are in the ratio 11 : 9.
Express the following ratio in the simplest form:
186 : 403
The ratio of ₹ 1 to 20 paise is _______________
A ratio can be equal to 1.
Which pair of ratios are equal? And why?
`4/5, 12/50`
