17-x is mean proportional to 10-x and 31-x find the value of x
Answers
Answered by
2
) 6
2
3
:7
1
2
(iv)
1
6
:
1
9
(v) 4:5:
9
2
(vi) 2.5 : 6.5 : 8
ANSWER:
(i) HCF of 24 and 40 is 8.
∴ 24 : 40 =
24
40
=
24 ÷ 8
40 ÷ 8
=
3
5
= 3 : 5
Hence, 24 : 40 in its simplest form is 3 : 5.
(ii) HCF of 13.5 and 15 is 1.5.
13.5
15
=
135
150
The HCF of 135 and 150 is 15.=
135 ÷ 15
150 ÷ 15
=
9
10
Hence, 13.5 : 15 in its simplest form is 9 : 10.
(iii)
20
3
:
15
2
=40 : 45
The HCF of 40 and 45 is 5.
∴ 40 : 45 =
40
45
=
40 ÷ 5
45 ÷ 5
=
8
9
= 8 : 9
Hence, 6
2
3
: 7
1
2
in its simplest form is 8 : 9
(iv) 9 : 6
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