31. A number added to its two thirds is equal to 55. Find the number.
32. Rahim's father is three times as old as Rahim. If sum of their ages is 56 years find their present ages.
33. The sum of two consecutive even no. is 86. Find the numbers.
34. The sum of two consecutive odd no. is 68. Find the numbers.
35. A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their
present ages
36. A number is 2/5 times another number. If their sum is 70. Find the numbers. Find two numbers such
that one of them is five times the other and their diff is 132.
37. The diff between two number is 7. Six times the smaller plus the larger is 77. Find the numbers
38. Give four rational number equivalent to: (i) -2/7 (ii) 5/-3 (iii) 4/9
39. Find the product: (i) 9/2 x (-7/4) (ii) 3/10 -9 (ii) -6/5 x 9/11
40. Find the value of: (i) (-4) - 2/3
(i)) (-1/8)= 3/4 (iii) ) (-7/12) = (-2/13)
41. The sum of two numbers is 5/9. If one of the number is 1/3, find the other.
42. What should be subtracted from -3/4 so as to get 5/6.
35points
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Answers
Answer:
33.let x be the first even nuber then x +2 be the second consecutive even number
A/q
x + ( x +2) = 86
2x + 2 =86
2x = 84
x = 84 /2
x = 42
which is first number
x+2 = 42 +2 = 44
hence 1st number 42 and second number is 44
Follow
meee
30thx+follow=inbox
1)Lets assume the number is x. Now its two third will be 2x/3. Now if you add 2x/3 to x you get 5x/3.
As per the question 5x/3=55
x=55×5/3=౩౩.
You can also verify it.
The no is 33.
2/3 of 33 will be 22.
2)Let Rahim’s Age be ‘x’
His Father’s Age = 3x (From question)
By Condition,
3x+x=56
=>4x=56
=>x=56/4
=>x=14
Therefore, Rahim’s age = 14
His father’s age = 3*14=42
3)THE X=42 X+2=44
x+x+2=86
2x+2=86
2x=86-2
2x=84
x=84/2
x=42
4)1st consecutive odd number = x +1
2nd consecutive odd number = x + 3
sum of two consecutive numbers = 68
x + 1 + x + 3 = 68
2x + 4 = 68
2x = 68 - 4
2x = 64
x = 64 / 2
x = 32
1st consecutive number = x + 1 = 32 + 1 =33
2nd consecutive number = x + 3 = 32 + 3 = 35
5)I prefer attachment..❣️..
6)Let one of the number is = x
Then the other number is = 2x/5
Given, x + 2x/5 =70
=> (5x+ 2x)/5 = 70
=>5x + 2x = 5×70
=> 7x =350
=>x =350/7
=>x =50
Therefore the number is =2x/5 =(2×50)/5=20
7) Check: 6x10+17 = 77. Correct. The numbers are 10 and 17. ... The differences in two numbers is 10, the sum of the larger one and two-third of the smaller number is 16.
8)a)-2/7=-2×2/7×2=-4/14
-2×3/7×3=-6/21
-2×4/7×4=-8/28
-2×5/7×5=-10/35
b and c try to do urself...
9)a)9/2 x (-7/4)=-63/8
b)3/10×-9=-27/10=-2.7
c)-6/5 x 9/11=-54/55
10)a)(-4) - 2/3=-12-2/3=-14/3
b)(-1/8)= 3/4=>let's check <cross multiply>
-1×4=8×3
=>-4 is not equal to 24
c) try urself by method of b part..
may be u wan to it..
11)Let the one number be X.
and
second one 1/3
then
1/3 +X = 5/9
X = 5/9-1/3
X =( 5-3) /9
X = 2/9 Ans
12)Let that no. be x
-3/4-x=5/6
-3/4-5/6=x(lcm)
-18-20/24=x
-38/24=x
-19/12=x
hope so it is helpful..mark me as brainliest..✌️..
nice dp..❣️...
