Practice
Exercise
1.
If a:b =5:4 and b:c = 8:15, find a:c
.
2.
If a: b = 7:4 and b: c = 5:14, find a:
b: c .
3.
If (4x + 5) : (3x + 11) = 13:17 ,find the value of x.
4.
Find the compounded ratio of the following ratios.
(a) 16:33 and
11:8
(b) (p +
q)2 : ( p – q )2,
(p2- q2) : ( p2
+ q2)
And (p4 – q4):
(p + q) 4
(c) (b2-4)
: (b2 +4b + 3),
(b2-1): (b2
-3b+2)
5.
Find the value of
(a) (2x+3y):(3x+5y),
if x:y = 3:4
(b) (5x
+8): (6x-7y), if x:y =5:3
6.
Find x , if 2.5 :1.5 = x : 3.
7.
Find x when
(a)
::
(b)
(c)
(d)
2:7 :: x : 14
8.
Find the fourth proportional to 25,15and 40
9.
Find the third proportional to 6 and 18.
10. Find the mean proportional between
4and 6.25.
11. Find the mean proportional between
the numbers .
12. Find :
and find a:b:c.
13.Two numbers are in the ratio 2:3 if
their sum is 650. Find the numbers.
14. Two numbers are in the ratio 7:4. If
their difference is 21. Find the number.