The sum of two numbers is 45. One number is nine more than thrice the other number. what are the numbers?
Answers
Answered by
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
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:
- 9
- 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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