Question

2
es the other new number. What are the
When three consecutive even integers are added, the sum is zero. Find the integers.
Find two consecutive odd integers such that two-fifth of the smaller exceeds two-ninth
of the greater by 4.
7. The denominator of a fraction is 1 more than twice its numerator. If the numerator and
denominator are both increased by 5, it becomes Find the original fraction
8. Find two positive numbers in the ratio 2:5 such that their difference is 15.
9. What number should be added to each of the numbers 12, 22, 42 and 72 so that the
resulting numbers may be in proportion?
3
5​

Answer 1

Answer:

7) 7/15

8) Given ratio of two positive number=2:5

let two number are 2x & 5x then,

acc to question

5x−2x=15

3x=15

⇒[x=5]

∴ two numbers are 10 & 25.

9)

1(2 + x ): ( 22 + x ) :: ( 42 + x ) : ( 72 + x )

now,product of extremes = product of mean.

( 12 + x ) (72 + x ) = ( 42 + x ) ( 22 + x )

12×72 + 12x + 72x + x ^2 = 42×22 + 42x + 22x + x ^2

=864 + 84x + x ^2 =924 + 64x + x ^2

=84x - 64x + x ^2- x ^2 = 924−864

= 20 x =60

x = 60/20

x = 3.