Question

the sum of two numbers is 25. kne number exceeds the other by 9 find the number​

Answer 1

Answer:

Appropriate Question :-

• The sum of two numbers is 25. The number is exceeds the other number by 9. What are the numbers.

Given :-

• The sum of two numbers is 25. The number is exceeds the other number by 9.

To Find :-

• What are the numbers.

Solution :-

Let,

$\mapsto$ First number = x

$\mapsto$ Other number = x + 9

According to the question,

$\implies \sf x + x + 9 = 25$

$\implies \sf 2x + 9 =\: 25$

$\implies \sf 2x =\: 25 - 9$

$\implies \sf 2x =\: 16$

$\implies \sf x =\: \dfrac{\cancel{16}}{\cancel{2}}$

$\implies \sf\bold{\purple{x =\: 8}}$

Hence, the required numbers are :

$\bigstar$ First number :

$\longrightarrow \sf x$

$\longrightarrow \sf \bold{\red{8}}$

$\bigstar$ Other number :

$\longrightarrow \sf x + 9$

$\longrightarrow \sf 8 + 9$

$\longrightarrow \sf\bold{\red{17}}$

$\therefore$ The numbers are 8 and 17.

Answer 2

$\green{\large\underline{\underline\bold{Given:-}}}$

• Sum of two numbers = 25
• Numbers exceeded by other numbers= 9

‎

$\green{\large\underline{\underline\bold{To \: find:-}}}$

• Numbers

‎

$\green{\large\underline{\underline\bold{Step \: by \: step \: explaination:-}}}$

At first let us assume the first number be y. Therefore, now let us convert them to form an equation. Noticing the question we stated the second number be (y+9) as the number is exceeded by 9. And then add the both terms which would be equal to 25.

‎

$\star \bold{\underline\mathfrak{Solving...}}$

$\: \: \: \: \: \: \implies \: \text{y + y + 9} = 25$

$\: \: \: \: \: \: \implies \: \text{2y + 9} = 25$

‎

$\star \bold{\underline\mathfrak{Taking \: 9 \: to \: R.H.S. \: and \: subtracting \: from \: 25}}$

‎

$\: \: \: \: \: \: \implies \: \text{2y} = 25 - 9$

$\: \: \: \: \: \: \implies \: \text{2y} = 16$

‎

$\star \bold{\underline\mathfrak{finding \: value \: of \: y \: by \: dividing \: 16 \: and \: 2..}}$

‎

$\: \: \: \: \: \: \implies \: \text{y} = \dfrac{16}{2}$

‎

$\star \bold{\underline\mathfrak{Cancelling \: terms..}}$

‎

$\: \: \: \: \: \: \implies \: \text{y} = \dfrac{ \cancel{16}}{ \cancel{2}} \\ \: \: \: \: \: \: \implies \: \text{y} = 8$

I st number :– 8

2nd number :– y+9 → 8 + 9 → 17

$\green{\large\underline{\underline\bold{Conclusion:-}}}$

• 8 and 17