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T/12+5=t/3+t/4 please hepl me

2 Answers

2 votes

Answer:

Explanation:

To solve the equation (T/12) + 5 = (T/3) + (T/4), we need to simplify the right-hand side of the equation by finding a common denominator for T/3 and T/4.

The least common multiple of 3 and 4 is 12, so we can rewrite T/3 and T/4 as (4T/12) and (3T/12), respectively. Substituting these expressions into the equation, we get:

(T/12) + 5 = (4T/12) + (3T/12)

Simplifying the right-hand side, we get:

(T/12) + 5 = (7T/12)

Subtracting (T/12) from both sides, we get:

5 = (6T/12)

Simplifying the right-hand side, we get:

5 = (T/2)

Multiplying both sides by 2, we get:

T = 10

Therefore, the solution to the equation is T = 10.

User Virgo
by
8.8k points
3 votes

SolutioN:-


\sf\longrightarrow \: (t)/(12) + 5 = (t)/(3) + (t)/(4) \\


\sf\longrightarrow \: (t + 60)/(12) = (t)/(3) + (t)/(4) \\


\sf\longrightarrow \: (t + 60)/(12) = (4t + 3t)/(12) \\


\sf\longrightarrow \: 12(t + 60) = 12(4t + 3t) \\


\sf\longrightarrow \: 12t + 720 = 48t + 36t \\


\sf\longrightarrow \: 12t + 720 = 84t \\


\sf\longrightarrow \: 720 = 84t - 12t\\


\sf\longrightarrow \: 720 =72t\\


\sf\longrightarrow \: 72t = 720\\


\sf\longrightarrow \: t = (720)/(72) \\


\sf\longrightarrow \: t = 10 \\


\longrightarrow { \underline{ \overline{ \boxed{ \sf{\: \: \: t = 10 \: \: \: }}}}} \: \: \bigstar\\

User Bjorke
by
8.1k points

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