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:

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.

Answer 2

Answer:

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.

Thus,

the required numbers are 7 and 35.

Hope it will help you.