Math, asked by micaellachoa, 27 days ago

The sum of two numbers is 45. One number is nine more than thrice the other number. what are the numbers?​

Answers

Answered by shubhammehsi20
1

Answer:

9 and 36

Step-by-step explanation:

let the first number=x

second number= 3x+9

x+3x+9=45

4x=36

x=9

3x+9=36

numbers are 9 and 36

Answered by Anonymous
7

Given:

  • The sum of two numbers is 45.
  • One number is nine more than thrice the other number.

To find:

  • The numbers?

Solution:

• Let's consider the two numbers as x & 3x + 9.

Here,

  • The sum of these two numbers is 45.

• Lets take x in common.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Forming an equation,

→ x + (3x + 9) = 45

→ 4x + 9 = 45

→ 4x = 45 - 9

→ 4x = 36

→ x = 36/4

→ x = 9

Therefore,

  • The numbers are:
  1. 9
  2. 3x + 9 = 3(9) + 9 = 27 + 9 = 36

∴ Hence, The two numbers are 9 & 36.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Let's verify this,

x + (3x + 9) = 45

→ 9 + (3(9) + 9) = 45

→ 9 + (27 + 9) = 45

→ 9 + 36 = 45

45 = 45

LHS = RHS

  • Hence, Verified!
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