| Directions: Q. 16 to 20 |
| Amit is planning to buy a house and the layout is given below. The design and the measurement has been made such that areas of two bedrooms and kitchen together is 95 sq m. |
 |
| Based on the above information, answer the following questions: |
A) \[2x+y=19,x-y=13\]
B) \[2x+y=19,x+y=13\]
C) \[2x-y=13,x+y=19\]
D) \[2x-y=19,x+y=13\]
Correct Answer: B
Solution :
| From the given figure we see that area of two bedrooms \[=2\left( 5x \right)=10x\,{{m}^{2}}\] |
| Area of kitchen \[=5\times y=5y\,{{m}^{2}}\] |
| According to the question, |
| Area of the two bedrooms and area of kitchen = 95 |
| \[\therefore \,\,\,10x+5y=95\] |
| \[\Rightarrow \,\,\,\,2x+y=19\] |
| [divide both sides by 5] ... (i) |
| Also, length of the home =15 cm |
| \[\therefore \,\,\,x+2+y=15\,\,\Rightarrow \,x+y=13\] ...(ii) |
| Hence, pair of linear equations is |
| \[2x+y=19\]and \[x+y=13\] |
You need to login to perform this action.
You will be redirected in
3 sec
