Question

Show that the following numbers are in continued proportion.
(i) 8, 20 and 50
(ii) 4, 12 and 36​

Answer 1

Step-by-step explanation:

ANSWER:

(i) 16 : 24 = 20 : 30

1624=23 (Dividing numerator and denominator by 8)2030= 23 (Dividing numerator and denominator by 10)∴1624=2030 Thus, the statement is true.

(ii) 21 : 6 = 35 : 10

216=72 (Dividing numerator and denominator by 3)3510= 72 (Dividing numerator and denomenator by 5)∴216=3510 Thus, the statement is true.

(iii) 12 : 18 = 28 : 12

1218=23 (Dividing numerator and denominator by 6)2812= 73 (Dividing numerator and denominator by 4)∴1624 and2030 are not equal.Thus, the statement is not true.

(iv) 51 : 58 = 85 : 102

5158And 85102=56 (Dividing numerator and denominator by 17) ∴5158 is not equal to 85102.Thus, the statement is not true.

(v) 40 men : 200 men = Rs 5 : Rs 25

40200= 15 (Dividing numerator and denominator by 40)525=15 (Dividing numerator and denominator by 5)∴40200=525Thus, the statement is true.

(vi) 99 kg : 45 kg = Rs 44 : Rs 20

9945= 115 (Dividing numerator and denominator by 9)4420=115 (Dividing numerator and denominator by 4)∴ 9945=115Thus, the statement is true.