Question

Form a pair of linear equations in two variables using the following information and solve it graphically.

Five years ago, Sita was twice as old as Rema. Ten years later Sita's age will be 10 years more than Rema's age. Find their present ages.​

Answer 1

Step-by-step explanation:

let the present age of sita be = x

let the present age of rema be = y

x + 10 X + 10 = 10 (y +10)

y + 10 x+10 = 10y + 100

x-10y = 100 - 10 = 90

X-10Y = 90 -------> 1

x - 5 x-5 = 3(y-5)

y - 5 x-5 =3y- 15

x-3y = -15 +5 = -10

X - 3Y = - 10------->2

x-10y = 90

x-3y=-10

x= -10+3y sub in eq 1

-10+3y - 10y =90

-10 - 7y = 90

7y= 90 +10 =100

y = 90/7 = 12.85

×= -10 + 10 × 12.85= 118.5 Y = 12.85

X = 118.5

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