Question
Download Solution PDFThere are three numbers m, n, and p, such that sum of m and n is 144, sum of thrice of n and five times of p is 464, and sum of p and m is 160, then what is the value of p?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
1) m + n = 144
2) 3n + 5p = 464
3) p + m = 160
Calculations:
Substitute m = 144 - n (from Equation 1) into Equation 3:
p + (144 - n) = 160
p + 144 - n = 160
⇒ p = 16 + n
Now substitute p = 16 + n into Equation 2:
3n + 5(16 + n) = 464
⇒ 3n + 80 + 5n = 464
⇒ 8n + 80 = 464
⇒ 8n = 464 - 80
⇒ 8n = 384
⇒ n = 384 / 8 = 48
Substitute n = 48 into p = 16 + n:
⇒ p = 16 + 48 = 64
∴ The value of p is 64.
Last updated on Jul 3, 2025
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