Question

2. 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. What are the
numbers?
ahorir o When we interchange the digits, it is
Sum of​

Answer 1

Answer:

• The numbers are 35 and 7.

Step-by-step explanation:

Given that:

• A positive number is 5 times another number.
• 21 is added to both the numbers then one of the new numbers becomes twice the other new number.

To Find:

• What are the numbers?

Let us assume:

• A positive number = 5x.
• Another number = x

After adding 21 to both the numbers:

• Positive number = (5x + 21)
• Another number = (x + 21)

Finding the numbers:

According to the question.

⟶ (5x + 21) = 2(x + 21)

⟶ 5x + 21 = 2x + 42

⟶ 5x - 2x = 42 - 21

⟶ 3x = 21

⟶ x = 21/3

⟶ x = 7

Numbers are:

• Positive number = 5x = 5 × 7 = 35
• Another number = x = 7

Answer 2

Answer:

Correct 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. What are the numbers.

Given :-

• 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 another new number.

To Find :-

• What are the numbers.

Solution :-

Let, the another number be x

And, the positive number will be 5x

Now, 21 added to both the number then,

$\mapsto$ New other number = x + 21

$\mapsto$ New positive number = 5x + 21

According to the question,

$\implies \sf 5x + 21 =\: 2(x + 21)$

$\implies \sf 5x + 21 =\: 2x + 42$

$\implies \sf 5x - 2x =\: 42 - 21$

$\implies \sf 3x =\: 21$

$\implies \sf x =\: \dfrac{\cancel{21}}{\cancel{3}}$

$\implies \sf\bold{\pink{x =\: 7}}$

Hence, the required numbers are :

➲ Another number :

↦ $\sf x$

➦ $\sf\bold{\red{7}}$

And,

➲ Positive number :

↦ $\sf 5x$

↦ $\sf 5(7)$

↦ $\sf 5 \times 7$

➦ $\sf\bold{\red{35}}$

$\therefore$ The numbers are 7 and 35.