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? ​

Answer 1

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 other new number.

To Find :-

Numbers

Solution :-

Let the smaller number be x

Greater number = 5x

When 21 added to both

2(x + 21) = 5x + 21

2x + 42 = 5x + 21

2x - 5x = 21 - 42

-3x = -21

x = -21/-3

x = 7

Number are

x = 7

5x = 5(7) = 35

Answer 2

Answer:

Given :-

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

□To prove :-

• Find the numbers.

□Solution :-

• Here let ,
• smaller number be x
• Greater number be 51.
• According to the given question,
• 21 is added to the both,
• we can write it as,
• $2(x + 1) = 5(x + 21)$
• $2x + 42 = 5x + 21$
• $2x - 5x = 21 - 42$
• $- 3x = - 21$
• $x = \frac{ - 21}{ - 3} = + 7$
• $x = 7$

□Therefore ,

• The numbers are
• x=7
• 5 (x)=5×7=35.

□Hope it helps u mate .

□Thank you .