# Form the pair of

i) Let larger number = x

Let smaller number = y

According to the question,

= = And,

= Comparing values of x from both equation, we get,   So, x = 3y = 3 × 13 = 39

Hence, the numbers are 13 and 39.

ii) Let the first angle = x

Let second angle = y

According to the question,

= x = And,

= Putting value of x from equation (i) to (ii). we get,

= = = so, Hence the angles are 99ᵒ and 81ᵒ

iii) Let cost of each bat = Rs. X

Let cost of each ball = Rs. Y

According to the question,

= = = And,

= Putting value of y from Equation (i) to equation (ii)

= = = = Putting value of x in equation (i) , we get

= Hence,

Cost of each bat = Rs.500 and Cost of each ball = Rs. 50

iv) Let the fixed charge for taxi = Rs. X

Let variable cost per km = Rs. y

We know that,

Total cost = Fixed charge + Variable Charge

According to the question,

= = And, For a journey of 15 km charge paid = Rs.155

so, Putting value of x from equation (i) to equation (ii). we get,

= = = Putting value of y in equation (i) . we get,

= So, People have to pay for travelling a distance of 25 km

= v) Let numerator = x

Let denominator = y

Fraction will be = According to the question,

Fraction become = = = = And, if 3 is added to both numerator and denominator it become = = Putting value of x from equation (i) to equation (ii)

= = = = y = 9

Putting value of y in equation (i)

= Hence , the fraction is vi) Let present age of Jacob = X years

Let present age of his son = Y years

Five year hence,

Age of Jacob = X + 5

Age of son = Y + 5

And, age of Jacob is 3 times of his son Given

= = = Five years ago,

Age of Jacob = X - 5

Age of son = Y - 5

And, Jacob's age was 7 times of his son Given

= = = Putting value of X from equation (i) to equation (ii)

= = = Putting value of Y in (i)

= Hence, Rate this question :

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