Q. If from 9, 11,15 & 21, x is subtracted then the resultant numbers are in same proportion, then find the mean proportion of (3x-2) & (8x+1)
Answers
Answer:
(i) HCF of 24 and 40 is 8.
∴ 24 : 40 = 2440= 24 ÷ 840 ÷ 8= 35 = 3 : 5
Hence, 24 : 40 in its simplest form is 3 : 5.
(ii) HCF of 13.5 and 15 is 1.5.
13.515=135150The HCF of 135 and 150 is 15.=135 ÷ 15150 ÷ 15=910
Hence, 13.5 : 15 in its simplest form is 9 : 10.
(iii) 203 : 152=40 : 45
The HCF of 40 and 45 is 5.
∴ 40 : 45 = 4045=40 ÷ 545 ÷ 5=89 = 8 : 9
Hence, 623 : 712 in its simplest form is 8 : 9
(iv) 9 : 6
The HCF of 9 and 6 is 3.
∴ 9 : 6 = 96=9 ÷ 36 ÷ 3 = 3 : 2
Hence, 16:19 in its simplest form is 3 : 2.
(v) LCM of the denominators is 2.
∴ 4 : 5 : 92 = 8 : 10 : 9
The HCF of these 3 numbers is 1.
∴ 8 : 10 : 9 is the simplest form.
(vi) 2.5 : 6.5 : 8 = 25 : 65 : 80
The HCF of 25, 65 and 80 is 5.
∴ 25 : 65 : 80 = 256580= 25 ÷ 565 ÷ 580 ÷ 5=51316 = 5 : 13 : 16
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