Solve the following:
(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?
(ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?
(iii) People of Sundergram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted?
(i) Let the number of marbles Parmit has be m.
According to the question, 5m+7=37
Thus, Parmit has 6 marbles.
(ii) Let the age of Laxmi be y years.
Then her father’s age = (3y+4) years
According to the question, 3y+4=49
Thus, the age of Laxmi is 15 years.
(iii) Let the number of fruit trees be t
Then the number of non-fruit tree = 3t+2
According to the question, t+3t+2=102
Thus, the number of fruit trees are 25.
Solve the following equations by trial and error method: (i) 5p + 2 = 17 (ii) 3m – 14 = 4
Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30