Question

10. Two numbers are in the ratio 11 : 12 and their sum is 460. Find the numbers.
11. A 35-cm line segment is divided into two parts in the ratio 4:3. Find the length of each part.
12. A factory produces electric bulbs. If 1 out of every 10 bulbs is defective and the factory
produces 630 bulbs ner day find the number of defective bulbs produced each day​

Answer 1

Step-by-step explanation:

10.Let the numbers be 11x,12x then their sum =11x+12x=460

⇒23x=460

∴x=

23

460

=20

∴ the numbers are 11x=11×20=220 and 12x=12×20=240

11.The ratio is 4:3

Let the common multiple be x,

4x+3x=35

7x=35

x=5

as the common multiple is 5 then the respective length of two parts are

4x=4×5=20cm

3x=3×5=15cm.

12.A factory produces 1 defective bulb out of every 10. Thus the probabilty of producing a defective bulb is 0.1

Total bulbs it produces are 630.

Hence the defective bulbs are 0.1×630=63