Question

Rasiklal Dhariwal
Godfrey Phillips India
Hyderabad Deccan Cigarette Factory
Manikchand Group
ITC
Kaja Beedi

Answer 1

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Option 1

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Answer 2

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Step-by-step explanation:

Given:-

Cost of 2 pencils and 3 erasers = ₹18

Cost of 1 pencil and 2 erasers = ₹11

To find:-

Cost of each pencil.

Solution:-

Let the cost of one pencil be x and the cost of eraser be y.

Equating the given conditions,

we get,

2x + 3y = ₹18 (Equation 1)

x + 2y = ₹11 (Equation 2)

Multiplying equation 2 by 2,

we get,

2×(x + 2y) = 2 × ₹11

2x + 4y = ₹22 (Equation 3)

Subtracting equation 1 from equation 3, we get,

2x + 4y - (2x + 3y) = ₹22 - ₹18

2x + 4y - 2x - 3y = ₹4

y = ₹4

Thus, the cost of one eraser is ₹4.

Now, substituting the value of y in equation 2,

x + 2y = ₹11

x + 2×₹4 = ₹11

x + ₹8 = ₹11

x = ₹3

Thus, the cost of one pencil is ₹3.Step-by-step explanation:

Given :-

Father's age is six times the son's age.

Mother's age is five times the son's age.

Sum of father's and mother's age is 77.

To find :-

Age of father

Solution :-

Let the son's age be x.

Then,

father's age = 6x

mother's age = 5x

It is given that,

6x + 5x = 77

There is no more condition.

So, it not possible to get the answer by a proper method.

Therefore, we start guessing.

If son's age was 6 years,

father's age = 6x = 36 years

mother's age = 5x = 30 years

Sum of father's and mother's age = 36 + 30 = 66

But, 66 ≠ 77

Therefore, son's age cannot be 6 years.

2. If son's age was 7 years,

father's age = 6x = 42 years

mother's age = 5x = 35 years

Sum of father's and mother's age = 42 + 35 = 77

This time, 77 = 77

Therefore, son's age = 7 years

Father's age = 6x = 42 years

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