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.
Don't give irrelevant answer otherwise he/she will be reported.
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Answers
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=55x=55×5/3=౩౩.
You can also verify it.The no is 33.2/3 of 33 will be 22.
55×5/3=౩౩.You can also verify it.The no is 33.2/3 of 33 will be 22.Addition of both will be 55.
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3)x+ x+2= 86 . =>x = 42. Answer: The larger number is 44.
4)1st consecutive odd number = x +1
1st consecutive odd number = x +12nd consecutive odd number = x + 3
sum of two consecutive numbers = 68
two consecutive numbers = 68x + 1 + x + 3 = 68
= 682x + 4 = 68
= 68 - 42x
= 64x = 64 / 2x
=32 + 1 =33ans
2nd consecutive number = x + 3 = 32 + 3 = 35ans
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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
So the number is =2x/5 =(2×50)/5=20
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