Question

✔A positive number is 5 times another number if 21 is added to both the numbers then one of the new numbers become to twice the other number what are the numbers ?✔

Answer 1

Answer:−

Given question:-

• A positive number is 5 times another number.

• If 21 is added to both the numbers.then one of the new numbers becomes twice the other new number.

To Find:-

We have to find what are the numbers.

Hence:-

Let x be the one number and let y be the other number.

Equation (1) – [x = 5y]

Therefore:-

1st number (x + 21)

2nd number (y + 21)

Given question:-

=x + 21

=2 (y+21)

=x + 21

=2y + 42

=5y + 21

=2y + 42

=5y−2y

=42−21

=3y

=21

⟶y=7

Adding values:-

⟶x = 5 (7)

⟶x = 35

⟶x=5(7)

⟶x=35

[.•.] Therefore, 35 and 7 are the numbers.

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Answer 2

$\huge\bold\blue{Answer}$

Let the numbers be x and 5x. According to the question,

21 + 5x = 2(x + 21)

21 + 5x = 2x + 42

Transposing 2x to L.H.S and 21 to R.H.S, we obtain

5x − 2x = 42 − 21

3x = 21

Dividing both sides by 3, we obtain

x = 7

5x = 5 × 7 = 35

Hence, the numbers are 7 and 35 respectively.

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