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The value of x, y in the following pair of Linear equations is: ,
The value of x, y in the following pair of Linear equations is: ,
The sum of ages of A and B is 49 years. A said to B, “I am twice as old as you were when I was as old as you are. Find the present age of B.
Let the ages of A and B be a and b
Going by the statement step by step
A says “I am twice as old”=A says that age is twice some number which is a=2( _ )
"as you were" which talks about past, means B’s age some times ago...which is b(how many years ago)
So, a=2(b (how many years ago))
“when I was as old as you are" = when A was B’s age now= When A was b years old. So no. of years from now to back then will be A’s age now minus A’s age then =ab
a=2(b(ab))
a=4b2a
a=4b/3 …..1
Also a+b=49
a=49b …..2
From 1 and 2
49b=4b/3
4b/3+b=49
7b/3=49
b=49*3/7=21 years
a=28 years
The value of x, y in the following pair of Linear equations is: ,
The value ofx,y in the following pair of Linear equations is:,
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A boat goes 35 km upstream and 42 km downstream in 11 hours. In 14 hours, it can go 43 km upstream and 59 km downstream. To determine the speed of the stream and that of the boat in still water , express the information in the form of equations of the type ax + by + c = 0
In an examination, one mark is awarded for every correct answer, while 1/4 mark is deducted for every wrong answer. A student answered 120 questions and got 20 marks. Which of the following pair of equations would give the result for how many questions did he answered correctly?
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3 women and 6 men can together finish a tailoring job in 5 days, while 4 women and 7 men can finish it in 4 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. The linear equations(in standard form) to solve this problem algebraically are
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By selling a wrist watch of Rs.405 the shopkeeper incurs a loss of 10%. What is the gain or loss percentage if he sells the same watch at Rs. 465?
CP = 405 / 0.9 = 450
New SP = Rs. 465
Profit (%) = [465450 / 450] X 100 = 3.33%
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