Question

Question 1.
Write the following statements in the form of equations.
(a) The sum of four times a number and 5 gives a number five times of it.
(b) One-fourth of a number is 2 more than 5.​

Answer 1

Answer:

Length and width of a field are in the ratio 5 : 3. If the width of the field is 42 m then its length is * 1 point. 100 m.26-Aug-2020

Answer 2

(a) The sum of four times a number and 5 gives a number five times of it.

ANSWER :-

Let the unknown number be 'x'.

We know that sum of 4 times of x and 5 is 5 times of x.

We will make an equation.

→ 4x + 5 = 5x

Now we will transpose 5 to R.H.S [sign changes from (+) to (-) ] and 5x to L.H.S [ sign changes from (-) to (+) ]

→ 4x - 5x = - 5

→ - x = - 5

→ x = 5

Hence , the number is 5.

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(b) One-fourth of a number is 2 more than 5.

ANSWER :-

Let the unknown number be 'y'.

so, 1/4 of y is 2 more than 5.

→ (1/4) × y = 5 + 2

→ y/4 = 7

We will transpose 4 to RHS . As 4 is in division form , it will be in multiplication form in RHS.

→ y = 7 × 4

→ y = 28

Hence , the unknown number is 28.