New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 7 Linear Equations in One Variable Practice 6C Solution
(1) The number decreased by 7 is 25, find the number.
(2) The number increased by 10 is 16, find the number.
(3) The number is multiplied by 2, and 8 is added to the product, the result is 50, find the number.
(4) The number is subtracted from 23, the result is 10 less than twice the number, find the number.
Solution Number 1, 2, 3 & 4:
(5) Two-thirds of the number is increased by 9, the sum will be 19, find the number.
(6) The sum of the one eight, one twelveth and one-twentieth parts is 31, find the number.
Solution Number 5 & 6:
(7) Seema’s little sister is now 5 years old. If her age is 2 years more than 1/4 of Seema’s age, how old is Seema.
(8) One number is 9 more than the other. If their sum is 63, what are the numbers?
Solution Number 7 & 8:
(9) The sum of two numbers is 64, and the second number is 16 less than the first. Find the numbers.
(10) One number is 7 times another number. If 14 is added to the sum of the numbers, the result is 38. Find the number.
Solution Number 9 & 10:
(11) John is 7 years older than his sister, and the sum of their ages is 21 years. Find the ages.
(12) Find theree consecutive numbers whose sum is 108. (Hint. Let the consecutive numbers be x, x + 1, x+ 2)
Solution Number 11 & 12:
(13) Find two consecutive odd numbers whose sum is 56. (Hint. Let the consecutive odd numbers be 2x + 1, 2x + 3)
(14) Find two consecutive even numbers whose sum is 86. (Hint. Let the consecutive even numbers be 2x, 2(x + 1)?
Solution Number 13 & 14:
(15) Rakesh is now 3 times as old as his younger brother Pinku, but in 3 more years he will be only twice as old as Pinku will be then, How old are they now?
(16) In a basketball, a field goal counts 2 points and a foul shot one point. Shreyas scored 14 points in a game. He made 3 times as many field goals as foul shots. On how many shots of each kind did he score?
Solution Number 15 to 16:
(17) The length of a rectangle is 6 m less than twice its breadth. If the perimeter of the rectangle is 54 m. Find its length and breadth.
(18) I have some 5-rupee coins and some 2-rupee coins is 4 times that of 5 rupee coins. If I have Rs. 117 in all, find the number of coins of each denominations.
Solution Number 17 & 18:
(19) A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3. Find the numbers.
(20) Pratik left one-third of his property for his son, one fourth for his daughter and the remainder for his wife. If wife’s share in the property was worth Rs. 10 lakh, find the total worth of Pratik’s property.
(21) One-fourth ofa herd of deer have gone to the forest. One-third of the total number are grazing in a field and remaining 15 are drinking water on the bank of a river. Find the total number of deer.
Solution Number 20, 21 & 22:
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