Question

The product of Mr.James' age in years on his last birthday and his age now in months is 1800. What was his age on his last birthday ?

Answer 1

James age on Last Birthday = 12 Years if product of age in years on his last birthday and his age now in months is 1872

Step-by-step explanation:

Let say Mr. James age on his Last Birthday  = Y  Years

His age now in Years = Y + 1 Years

His age now in month  = 12(Y + 1) months

Y * 12(Y + 1) = 1800

=> Y ( Y + 1) =  150

=> Y² + Y - 150 = 0

Y = 11.75

so some mistake in data

if 1800 = 1872

then

Y² + Y - 156 = 0

=> Y² + 13Y - 12Y  - 156 = 0

> Y ( Y + 13) - 12(Y + 13) = 0

=> (Y - 12)(Y + 13) = 0

=> Y = 12

His age on Last Birthday = 12 Years

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Answer 2

Answer:

11.75 years.

Step-by-step explanation:

Let the age of mr. James last year = x years,

Thus, his age in the present year = (x+1) years,

According to the question,

x × 12(x+1) = 1800 ( ∵ 1 year = 12 months )

12x(x+1) = 1800

x(x+1) = 150

$x^2 + x = 150$

$x^2+x-150=0$

By quadratic formula,

$x=\frac{-1\pm \sqrt{1+600}}{2}$

$\implies x = 11.75\text{ or }x = -12.75$

But, age can not be negative,

Hence, the age of mr. james last year = 11.75 years.

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