Question

The sum of two numbers is 40.one number is 10 more than the other.what are the numbers

Answer 1

Answer:

The numbers are 25 and 15.

Step-by-step explanation:

Let the other number be x

One of the number = 10 more than the other = (x + 10)

Given

Sum of two numbers = 40

⇒ One of the number + Other number = 40

⇒ (x + 10) + x = 40

⇒ x + 10 + x = 40

⇒ 2x + 10 = 40

⇒ 2x = 40 - 10

⇒ 2x = 30

⇒ x = 30/2

⇒ x = 15

Other number = x = 15

One of the number = (x + 10) = (15 + 10) = 25

Therefore the numbers are 25 and 15.

Answer 2

$\huge{\mathfrak{\underline{\underline{Answer:-}}}}$

$\large{\sf{25 \: , 15}}$

$\huge{\mathfrak{\underline{\underline{Explanation:-}}}}$

Let the numbers be a and b

So, We have

$\large{\star{\boxed{\boxed{a \: + \: \: b \: = \: 40}}}}$ .............(i)

And also,

$\large{\star{\boxed{\boxed{a \: = \: 10 \: + \: b }}}}$ .............(ii)

$\rule{200}{2}$

•°• Put value of a in equation (i)

a + b = 40

we know [ a = 10 + b]

» 10 + b + b = 40

» 10 + 2b = 40

» 2b = 40 - 10

» 2b = 30

» b = 30/2

» b = 15

b= 15

$\rule{200}{2}$

a = 10 + b

______________[Put value of b]

a = 10 + 15

a = 25

a = 25

$\rule{200}{2}$

$\large{\bf{\underline{\boxed{\red{Numbers \: are \: = \: 25 \: and \: 15}}}}}$