Solve: y+2 3 + y+5 4 =6 - Vidyadip

Question

Solve: $\frac{\mathrm{y}+2}{3}+\frac{\mathrm{y}+5}{4}=6$

✓

Answer

$\begin{aligned} & \frac{y+2}{3}+\frac{y+5}{4}=6 \\ & \Rightarrow \frac{4 y+8+3 y+15}{12}=6 \\ & \Rightarrow 4 y+8+3 y+15=6 \times 12 \\ & \Rightarrow 7 y+23=72 \\ & \Rightarrow 7 y=72-23=49 \\ & \Rightarrow y=\frac{49}{7}=7 \\ & \therefore y=7\end{aligned}$

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