Question

(1) 10 added to 3 times of a number gives 55.
What is the number?
(2) 10 subtracted from half of a number
gives 15. What is the number?​

Answer 1

Step-by-step explanation:

1.

Let the number be X

3 times X = 3X

If 10 is added to 3X then it becomes 3X+10

The result = 55

3X+10 = 55

=> 3X = 55-10

=> 3X = 45

=>X = 45/3

=> X = 15

The required number = 15

Check:-

10 added to 3 times of a number

=> 3×15+10

=> 45+10

=> 55

Verified the given relation

2.

Let the number be X

Half of the number = X/2

Given that

10 subtracted from half of a number

gives 15.

=> (X/2) -10 = 15

=> X/2 = 15+10

=> X/2 = 25

=> X = 25×2

=> X = 50

The required number = 50

Check:-

10 subtracted from half of a number

=> (50/2) -10

=> 25-10

=>15

Verified the given relation.

Answer 2

Answer:

15 and 20

Step-by-step explanation:

(i) First we will make the equation - 3x +10=55

Now let's solve it -

3x = 55-10

3x =45

x = 45 ÷ 3

x= 15

So , 15 is the number .

(ii) First we will make the equation= 10- x by 2 = 15

Now let's solve it-

10 -x =15×2

10 - x = 30

x = 30-10

x = 20

So , 20 is the number.

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