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3. 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?, Solution:, Let Parmit’s marbles be x., , 5 times the number of marbles Parmit has = 5 x, , Sx+7=37, 5x = 37-7 (Transposing 7 to R.H.S.), 5x=30, , 30, , , , x= , (Transposing 5 to R.H.S.), x=6, , ‘Therefore, Parmit has 6 marbles., (ii) Laxmi’s father is 49 years old. He is 4 years older than three times, Laxmi’s age. What is Laxmi’s age?, Solution:, Let Laxmi’s age be x years., 3 x Laxmi’s age + 4 = her father’s age, , Bx+4249, , 3x = 49 - 4 (Transposing 4 to R.H.S.), , 3x2 45, , 6, , x= , (Transposing 3 to R.H.S.), , x215, Therefore, Laxmi’s age is 15 years., (ii) People of Sundargram planted trees in the village garden. Some of, the trees were fruit trees. The number of non-fruit trees were two, more than three times the aumber of fruit trees, What was the number, of fruit trees planted if the number of non-fruit trees planted was 77?, Solution:, Let the number of fruit trees be x., , 3 x Number of fruit trees + 2 = Number of non-fruit trees, , , , 3x+2=77, 3x=77 - 2 (Transposing 2 to R.H.S.), 3x=75, , B, , x= , (Transposing 3 to R.H.S.), x=25, Therefore, the number of fruit trees was 25, 4. Solve the following riddle:, Tam a number,, Tell my identity!, Take me seven times over, And add a fifty!, To reach a triple century, You still need forty!, Solution:Let the number be x., (7.x + 50) + 40 = 300, 7x +90 = 300, 7x = 300 - 90 (Transposing 90 to R.H.S.), 7x =210, , 210, , x=, (Transposing 3 to R.H.S.), x=30, Therefore, the number is 30.