Question

Find the missing number in each. i) __ : 10 = 70 : 100 ii) 11 : __ = 121 : 132 iii) 15 : 16 = 45 : __ iv) 10 : 8 =__ : 64.
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Answer 1

Answer:

Step-by-step explanation:

1) Let the 1st term be x.

x : 10 = 70 : 100

Product of extremes = Product of means

⇒ x × 100 = 10 × 70

⇒ x = 700 / 100

⇒ x = 7

∴ The 1st term = x = 7 is the answer.

2) Let the 2nd term be x.

11 : x = 121 : 132

Product of extremes = Product of means

⇒ 11 × 132 = x × 121

⇒ 1452 = x × 121

⇒ 1452 / 121 = x

⇒ x = 12

∴ The 2nd term = x = 12 is the answer.

3) Let the 4th term be x.

15 : 16 = 45 : x

Product of extremes = Product of means

⇒ 15 × x = 16 × 45

⇒ 15 × x = 720

⇒ x = 720 / 15

⇒ x = 48

∴ The 4th term = x = 48 is the answer.

4) Let the 3rd term be x.

10 : 8 = x : 64

Product of extremes = Product of means

⇒ 10 × 64 = 8 × x

⇒ 640 = 8 : x

⇒ 640 / 8 = x

⇒ x = 80

∴ The 3rd term = x = 80 is the answer.