SIMPLE PRACTICE WORKSHEETS
RELATED TO LINEAR EQUATIONS
CLASS 5TH, 6TH & 7TH
STEP BY STEP EASY SOLUTIONS. WORKSHEET ——-(1)
Q.1) If 9 is added to a certain number, the result is 36. Find the number.
SOLUTION :
Let the number be x 9 is added to the number = x +9
According to the question,
x + 9 = 36
x = 36 – 9
x = 27
Thus, the required number is 27
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Q.2) If 11 is subtracted from 4 times a number, the result is 89. Find the number.
SOLUTION :
Let the number be =x
4 times the number = 4x
According to the question,
4x – 11 = 89
4x = 89 + 11 4x = 100 x = 25
Thus, the required number is 25
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Q.3) Find the number which when multiplied by 5 is increased by 80.
SOLUTION :
Let the number be = x
5 multiplied to the number = 5x
According to the question,
5x = x + 80
5x – x = 80
4x = 80
x = 80 /4 x = 20
Thus, the required number is 20.
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Q.4) The sum of three consecutive natural numbers is 114. Find the numbers.
SOLUTIONS :
Let the first consecutive natural number be = x
The second consecutive natural number = x +1
The third consecutive natural number = x +2
According to the question,
x + x + 1 + x + 2 = 114
3x + 3 = 114
3x = 114 – 3
3x = 111
x = 37
Thus, the first consecutive natural number is = x = 37
The second number is = x + 1 = 37 + 1 = 38
The third number is = x + 2 = 37 + 2 + 39
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Q.5) When Raju multiples a certain number by 17 and adds 4 to the product, he gets 225. Find the number.
SOLUTION :
Let the number be = x
Multiples the number by 17 therefore the product is 17x
Adds 4 to the product = 17x + 4
According to the question,
17x +4 = 225
17x = 225 – 4
17x = 221
x = 221 / 17
x = 13
Thus , the required number is 13
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Q. 6) If a number is tripled and the result is increased by 5,we get 50. Find the number.
SOLUTION :
Let the required number be = x
The number is tripled = 3x
The tripled number i.e. the result is added by 5 = 3x + 5
According to the question,
3x + 5 = 50
3x = 50 – 5
3x = 45
x = 45 / 3 x = 15
Thus, the required number is 15
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Q.7) Find the two numbers such that one of them exceeds the other by 18 and their sum is 92.
SOLUTION :
Let the smaller number be = x Hence, the greater number will be = x + 18
According to the question,
x + x + 18 = 92
2x = 92 – 18 2x = 74 x = 74 / 2 x = 37
Thus, the smaller number = x= 37 the greater number = x + 18 = 37 + 18 = 55
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Q.8) One of the two numbers is thrice the other. If their sum is 124, find the numbers
SOLUTION :
Let the smaller number be = x The greater number will be = 3x
According to the question,
x + 3x = 124 4x = 124 x = 124 / 4 x = 31
Thus, the smaller number is = x = 31
The greater number = 3x = 3 * 31 = 93
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