Question

Form the pair of linear equations in the following problems, and find their solutions
(if they exist) by the elimination method:
(1) If we add 1 to the numerator and subtract 1 from the denominator, a fraction
reduces to 1. It becomes = if we only add 1 to the denominator. What is the
fraction?
(2) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice
as old as Sonu. How old are Nuri and Sonu?​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

Age of nuri = 50 yrs

Age of sonu = 20 yrs

Step-by-step explanation:

Let,

Age of nuri be x years

Age of sonu be y years

Case (i)

5 years ago

X-5 = 3(y-5)

X-5=3y-15

X-3y=-10............eq 1

Case (ii)

10 yrs later

X+10=2(y+10)

X+10=2y+20

X-2y=10............eq 2

Solving 1 and 2

X-3y=-10

X-2y=10

(-). (+). (-)

__________

- 7y= - 20

__________

Y=20

Substitute y=20 in 2

X-40=10

X= 50