Question

Given that a : b : c / 75 : 120 : 132 (i) simplify a : b : c (ii) b : a (iii) b : c


please explain the whole equation​

Answer 1

Answer:

HOPE IT HEPS YOU

Step-by-step explanation:

SOLUTION

GIVEN

a : b : c = 75 : 120 : 132

TO DETERMINE

(i) To simplify a : b : c

ii) To find b : a

iii) To find b : c

EVALUATION

Here it is given that

a : b : c = 75 : 120 : 132

(i) Here

75 = 3 × 5 × 5

120 = 2 × 2 × 2 × 3 × 5

132 = 2 × 2 × 3 × 11

So the HCF of 75, 120, 132 = 3

Dividing each term of the ratio by 3 we get

a : b : c = 25 : 24 : 44

Which is required simplest form

ii) From above

a : b = 25 : 24

∴ b:a = 24 : 25

iii) Again from above

b:c = 24 : 44

24 = 2 × 2 × 2 × 3

44 = 2 × 2 × 11

HCF of 24 & 44 = 4

Divide each term by 4

∴ b:c = 6 : 11