5. Shobo's mother's present age is six times Shobo's present age. Shobo's age five
years from now will be one third of his mother's present age. What are their
present ages?
6. There is a narrow rectangular plot, reserved for a school, in Mahuli village. The
length and breadth of the plot are in the ratio 11:4. At the rate 5100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?
Answers
Answer:
5Ans: Shobo's mother age is 6 times of Shobo. After 5yrs Shobo's age will be 1/3 of his mothers present age. We will solve this linear equation in two Variable to get the ages of Shobo and his mother. Hence Shobo's present age is 5yrs and present age of mother will be 5 × 6 = 30yrs.
6Ans:
Let the length and breadth's common ratio: x in metre
∴ Length :11x and Breadth :4x
Perimeter ⇒2(l+b)
=2(11x+4x)=30x
As per the question:
Cost of fencing plot at rate of Rs.100 per meter is Rs.75000
∴100× Perimeter =75000
3000x=75000
x=25
Length =11×x=11×25=275 m
Breadth =4x,=4×25=100 m
Step-by-step explanation:
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Answer:
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8th
Maths
Linear Equations in One Variable
Solving Linear Equations with Variable on Both Sides
Shobo's mother's present ag...
MATHS
Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of the mother's present age. What are their present ages?
MEDIUM
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ANSWER
Let the present age of Shobo be x years .
Then, Shobo's mother's age =6x years
After 5 years: Shobo's age =(x+5) years
∴(x+5)=
3
1
×(6x)
On cross multiplying, we get
3×(x+5)=6x
⇒3x+15=6x
⇒3x−6x=−15
⇒−3x=−15
⇒x=5
6:Let the length and breadth's common ratio: x in metre
∴ Length :11x and Breadth :4x
Perimeter ⇒2(l+b)
=2(11x+4x)=30x
As per the question:
Cost of fencing plot at rate of Rs.100 per meter is Rs.75000
∴100× Perimeter =75000
3000x=75000
x=25
Length =11×x=11×25=275 m
Breadth =4x,=4×25=100 m
Step-by-step explanation:
hope it helps u