Question

1313
THEMATICS FOR CU
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LINEAR EQUATIONS IN ONE VARIABLE
EXERCISE 6.2
1. Find two consecutive natural numbers, whose sum is 53.
2. The sum of a number and 13 is 25. Find the number.
3. Five added to seven times a number, gives 68. Find the number.
4. The difference of 13 and a number is 24. Find the number.
5. Sumn of two numbers is 45 and their difference is 9. Find the numbers.
6. The sum of three times a number and 3 is 7. Find the number.
7. Find three consecutive odd integers whose sum is 87.
(Hint : Let the three odd integers be 2x + 1, 2x + 3, 2x + 5
According to the given question : (2x + 1) + (2x + 3) + (2x + 5) = 87
or 6x +9= 87 = 6x= 78, or x = 13.
Hence the numbers are 2 x 13 + 1, 2 x 13 + 3,2 x 13 + 5
le., 27, 29 and 31.)
8. The sum of four consecutive integers is 266. Find the integers.
9. Two equal sides of a triangle are each 4 cm less than three times the third side.
Find the sides of the triangle if its perimeter is 55 cm.
10. In a class of 35 students, the number of girls is two fifths the number of boys,
Find the number of boys and girls in the class.
11. One third of a number is greater than one fourth of its successor by 1. Find the
number.
12. Numerator of a rational number is 7 less than the denominator. If the
denominator is increased by 9 and the numeratoinr by 2, we again get the same
number. Find the number.
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Answer 1

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