Question

The sum of three number is 25.the second number is twice the first and third exceeds the second by 5. find the number

Answer 1

Answer:

4,8,13 are the numbers

Step-by-step explanation:

Let The first number be x.

Second number =2x

Third number =2x+5

then,

x+2x+5+2x=25

→5x=25-5

→5x=20

→x=20/5=4

hence, x=4

second number =8

third number=13

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Sum of 3 no.'s is 25
• 2nd no. = twice of 1st
• 3rd no. exceeds the 2nd no. by 5

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Find the numbers =??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

• Let the 1st no. be x
• 2nd no = 2x
• 3rd no. = 2x - 5

ATQ :-

Sum of all the numbers = 25

⠀⠀⠀⠀

x + 2x + 2x - 5 = 25

⠀⠀⠀⠀

5x - 5 = 25

⠀⠀⠀⠀

5x = 25 + 5

⠀⠀⠀⠀

5x = 30

⠀⠀⠀⠀

x = 30 / 5

⠀⠀⠀⠀

x = 6

⠀⠀⠀⠀

• Finding the numbers

⠀⠀⠀⠀

x = 6

⠀⠀⠀⠀

2x = 2 × 6 = 12

⠀⠀⠀⠀

2x - 5 = 2 × 6 - 5 = 12 - 5 = 7

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• 3 no's are 6 , 12 , 7

_______________________

$\sf{\bold{\green{\underline{\underline{Verification}}}}}$

• Sum of all these no.'s is 25

6 + 12 + 7 = 25

⠀⠀⠀⠀

18 + 7 = 25

⠀⠀⠀⠀

25 = 25

⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.....Hence verified