EXERCISE 7 (B)
1. The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10. Find the
numbers.
2. One number is 5 times another. If 18 is subtracted from the greater, the remainder will be 3 times the
smaller. Find the numbers.
3. (i) Find three consecutive numbers whose sum is 108.
(ii) Find three consecutive odd numbers whose sum is 93.
(iii) Find three consecutive even numbers whose sum is 246.
(iv) The sum of three consecutive multiples of 7 is 777. Find these multiples.
[Hint. Let the numbers be 7x, 7x + 7 and 7x + 14]
4. Divide 534 into three parts such that the second part will be 32 less than twice the first, and the third will
be 18 more than the first
5. Three times the smallest of three consecutive odd numbers decreased by 7 equals twice the largest one.
Find the numbers.
6. One number is 7 more than another and its square is 77 more than the square of the smaller number.
What are the numbers?
7. The square of the greater of two consecutive even numbers exceeds the square of the smaller by 36. Find
the numbers
8. The denominator of a fraction is 3 more than the numerator. If 5 is added to both parts, the resulting
4
fraction is equivalent to Find the fraction.
5
9. The difference between two positive integers is 50 and the ratio of these integers is 1:3. Find these
integers.
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Answer:
no. 3(1) . 35.36.37
(2) 29 31 33 three consecutive odd number whose some is 93
(3) 82 81 83 three consecutive even number whose sum is 246❤❤❤
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