Q. 1) Find A:B:C, when i) A:B=6:5 and B:C=7:8 ii) A:B=2:3 and B:C=4:11 iii) A:B=1/4:1/5 and B:C=1/7:1/6Q. 2)If A:B:C=2:3:5 and B=21, find A and C.Q. 3) If 3A=4B=6C, find A:B:C.

2
by warekomal

2014-09-01T09:00:48+05:30

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1)  A: B = 6: 5        B:C = 7:8

A:B = 6* 7 : 5 * 7 = 42 : 35              B : C = 7*5 : 8 * 5 = 3 5 : 40

A : B : C = 48 : 35 : 40

2) A: B = 2 : 3        B:C = 4: 11
A: B = 2 *4 : 3 * 4            B:C = 4*3  : 11 * 3

A: B = 8 : 12 : 33

Q 2)
A:B:C = 2:3:5      B = 21
A : B = 2/3     A = 2/3 B  = 2*21/3 = 14
B:C = 3:5      C:B = 5:3              c = 5/3 * B = 5*21/3  = 35

Q 3)
3 A = 4 B = 6 C

A/B = 4/3      B/C = 6/4
A/B = 4*2/3*2 = 8/6          B/C = 6/4
A:B :C = 8 : 6 : 4  = 4:3:2

ANOTHER WAY

3 A = 4 B = 6 C    = 12 (LCM)
A = 12/3 = 4     B = 12/4 = 3        C = 12/6 = 2
A:B:C = 4:3:2

2014-09-03T16:56:21+05:30
1) i) A : B = 6 : 5
B : C = 7 : 8

A : B = 6* 7 : 5 * 7 = 42 : 35
B : C = 7*5 : 8 * 5 = 35 : 40
Therefore,
A : B : C = 42 : 35 : 40
ii)  A : B = 2 : 3
B : C = 4 : 11

A : B = 2 * 4 : 3 * 4 = 8 : 12
B : C = 4 * 3  : 11 * 3 = 12 : 33
A : B : C = 8 : 12 : 33
iii) A : B = 1/4 : 1/5 ( LCM of 4 and 5 is 20)
B : C = 1/7 : 1/6 ( LCM of 7 and 6 is 42)
A : B = 5/20 : 4/20
A : B = 5 : 4
B : C = 6/42 : 7/42
B : C = 6 : 7
A : B = 5 * 6 : 4 * 6 = 30 : 24
B : C = 6 * 4 : 7 * 4 = 24 : 28
A : B : C = 30 : 24 : 28
2) A : B : C = 2 : 3 : 5
B = 21
A : B = 2/3
A = 2/3 * B
= 2 * 21/3 = 14
B : C = 3 : 5
C : B = 5 : 3
C = 5/3 * B
= 5 * 21/3  = 35
3)  3 A = 4 B = 6 C
A/B = 4/3
B/C = 6/4
A/B = 4 * 2 / 3 * 2 = 8/6
A:B :C = 8 : 6 : 4
= 4 : 3 : 2