Solve the equation and check the correct answer. 2 x 3 + 5 6 = 13 6

Given: 2 x 3 + 5 6 = 13 6 The L.C.M of 3 & 6 = 6 ⇒ 4 x + 5 6 = 13 6 .........(1) ⇒ 6 4 x + 5 = 6 × 13 ⇒ 4 x + 5 = 13 4 x = 13 - 5 x = 8 4 ⇒ 2 Put x = 2 in equation(1) 8 + 5 6 = 13 6 13 6 = 13 6 L.H.S = R.H.S

Solve the equation for x : x + 2 3 + 5 = 17

Given, x + 2 3 + 5 = 17 ⇒ x + 2 3 = 17 - 5 ⇒ x + 2 3 = 12 ⇒ x + 2 = 12 × 3 ⇒ x + 2 = 36 ⇒ x = 36 - 2 ∴ x = 34 Hence, the value of x is 34 .

Convert the statement into equations. 2 3 of certain number is 24 .

Let us take the number be x . 2 3 of the number can be written as 2 3 of x . We know that, the operator "of" tells the multiplication. ⇒ 2 3 × x = 2 3 x Given that, 2 3 of the certain number is 24 . ∴ 2 3 x = 24

Convert the statement into equations. 1 10 of a certain amount is ₨ . 2500

Let us take the required amount be ₨ . x . 1 10 of the number can be written as 1 10 of x . We know that, the operator "of" tells the multiplication. ⇒ 1 10 × x = 1 10 x Given that, 1 10 of the certain amount is ₨ . 2500 . ⇒ 1 10 x = 2500 ⇒ x = 25000 ∴ x - 25000 = 0