Question
Solve: $\frac{x+4}{2}+\frac{x}{3}=7$
✓
Answer
$\begin{aligned} & \frac{x+4}{2}+\frac{x}{3}=7 \\ & \Rightarrow \frac{3 x+12 x+2 x}{6}=7 \\ & \Rightarrow 3 x+12+2 x=7 \times 6 \\ & \Rightarrow 3 x+12+2 x=42 \\ & \Rightarrow 5 x=42-12=30 \\ & \Rightarrow x=\frac{30}{5}=6 \\ & \therefore x=6\end{aligned}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the mean weight of 50 boys from the following data :
| Weight (in kg) | 50 | 52 | 54 | 56 | 60 |
| Number of boys (Frequency) | 6 | 8 | 15 | 14 | 7 |
Prove that:
(i) $\triangle ABD \cong \triangle ACD$
(ii) $\angle B=\angle C$
(iii) $\angle ADB =\angle ADC$
(iv) $\angle A D B=90^{\circ}$
→(i) $\triangle ABD \cong \triangle ACD$
(ii) $\angle B=\angle C$
(iii) $\angle ADB =\angle ADC$
(iv) $\angle A D B=90^{\circ}$
Evaluate: 1925 x 101 – 1925
Sanjay runs a computer repair service company. For an HP laptop, he charges ₹ 320 for diagnosis and ₹ 90 per hour for repairs. For a Dell laptop, he charges ₹ 480 for diagnosis and ₹ 70 per hour for repairs.
Q.1. Sanjay repairs an HP laptop of Mr Lal. He charges ₹ 950 for the work. How long did the repair work take place?
(a) 6 hours$\quad$$\quad$ (b) 7 hours$\quad$$\quad$ (c) 8 hours$\quad$$\quad$ (d) 9 hours
Q.2. Sanjay repairs a Dell laptop of Mr Gupta. The total charges were ₹ 830. How long did the repair work take place?
(a) 5 hours $\quad$$\quad$(b) 6 hours$\quad$$\quad$ (c) 7 hours $\quad$$\quad$(d) 8 hours
Q.3. He repairs an HP laptop and a Dell laptop of Mr Subhash. He found that the repair work for both the laptops took equal time and also the service charges of the two laptops were the same. How long did the repair work take place for each laptop?
(a) 6 hours $\quad$$\quad$(b) 7 hours$\quad$$\quad$ (c) 8 hours$\quad$$\quad$ (d) 9 hours
Q.4. What were the total service charges that Mr. Subhash had to pay for both the laptops ?
(a) ₹ 1040 $\quad$$\quad$(b) ₹ 1260 $\quad$$\quad$(c) ₹ 2040$\quad$$\quad$ (d) ₹ 2520
→Q.1. Sanjay repairs an HP laptop of Mr Lal. He charges ₹ 950 for the work. How long did the repair work take place?
(a) 6 hours$\quad$$\quad$ (b) 7 hours$\quad$$\quad$ (c) 8 hours$\quad$$\quad$ (d) 9 hours
Q.2. Sanjay repairs a Dell laptop of Mr Gupta. The total charges were ₹ 830. How long did the repair work take place?
(a) 5 hours $\quad$$\quad$(b) 6 hours$\quad$$\quad$ (c) 7 hours $\quad$$\quad$(d) 8 hours
Q.3. He repairs an HP laptop and a Dell laptop of Mr Subhash. He found that the repair work for both the laptops took equal time and also the service charges of the two laptops were the same. How long did the repair work take place for each laptop?
(a) 6 hours $\quad$$\quad$(b) 7 hours$\quad$$\quad$ (c) 8 hours$\quad$$\quad$ (d) 9 hours
Q.4. What were the total service charges that Mr. Subhash had to pay for both the laptops ?
(a) ₹ 1040 $\quad$$\quad$(b) ₹ 1260 $\quad$$\quad$(c) ₹ 2040$\quad$$\quad$ (d) ₹ 2520
Find $x, y$ and $p$ is the given figure
→In the case, given below, draw a line through point $P$ and parallel to $A B:$
→A sum amounts to Rs. 2,652 in 6 years at 5% p.a. simple interest. Find:
(i) the sum
(ii) the time in which the same sum will double itself at the same rate of interest.
(i) the sum
(ii) the time in which the same sum will double itself at the same rate of interest.
Evaluate: $(a + 5)(3a - 2)(5a + 1)$
→A square lawn is surrounded by a path $2.5 \ m$ wide. If the area of the path is $165\ m^2$ find the area of the lawn.
→In the adjoining figure, $\triangle A B C$ is an isosceles triangle in which $A B=A C$ and $A D$ is a median.
Prove that :
(i) $\triangle ADB \cong \triangle ADC$
(ii) $\angle BAD =\angle CAD$
→Prove that :
(i) $\triangle ADB \cong \triangle ADC$
(ii) $\angle BAD =\angle CAD$