Solve the equation:0.6x + 0.25x = 0.45x + 1.2

1.	Solve the equation:0.6x + 0.25x = 0.45x + 1.2
Answer» 0.6x + 0.25x = 0.45x + 1.2 ⇒ 6x/10 + 25x/100 = 45x/100 + 12/10 On changing decimal fractions into simple fraction ⇒ 60x + 25x = 45x + 120 On multiplying by 100 since LCM of 10 and 100 is 100 ⇒ 85x = 45x + 120 ⇒ 85x – 45x = 120 On transposing 45 40x = 120 ⇒ 40x/40 = 120/40 On dividing by 40 on both sides ⇒ x = 3

Answer»

0.6x + 0.25x = 0.45x + 1.2

⇒ 6x/10 + 25x/100 = 45x/100 + 12/10

On changing decimal fractions into simple fraction

⇒ 60x + 25x = 45x + 120

On multiplying by 100 since LCM of 10 and 100 is 100

⇒ 85x = 45x + 120

⇒ 85x – 45x = 120

On transposing 45

40x = 120

⇒ 40x/40 = 120/40

On dividing by 40 on both sides

⇒ x = 3

Discussion