-A- is 16 years elder than -B- But -B-s- 12 age is equal to 13 age of -A- then what is the present age of -A- and -B-

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Finding Solution of an Equation by Trial and Error Method

'A' is 16 yea...

Question

'A' is 16 years elder than 'B'. But 'B's' $\frac{1}{2}$ age is equal to $\frac{1}{3}$ age of 'A', then what is the present age of 'A' and 'B'

A = 32, B = 16

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A = 48, B = 32

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A = 40, B = 42

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A = 46, B = 30

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Solution

The correct option is B $A = 48, B = 32$
Let age of $B = x$
Then $A = x + 16$
According to question $\frac{x}{2} = \frac{x + 16}{3}$
$\Rightarrow 3 x = 2 x + 32$
$\Rightarrow x = 32$
$∵ B = 32$
$A = x + 16$
$= 48$

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'A' is 16 years elder than 'B'. But 'B's' 12 age is equal to 13 age of 'A', then what is the present age of 'A' and 'B'

The correct option is B A=48,B=32Let age of B=xThen A=x+16According to question x2=x+163⇒3x=2x+32⇒x=32∵B=32A=x+16=48

'A' is 16 years elder than 'B'. But 'B's' $\frac{1}{2}$ age is equal to $\frac{1}{3}$ age of 'A', then what is the present age of 'A' and 'B'

The correct option is B $A = 48, B = 32$
Let age of $B = x$
Then $A = x + 16$
According to question $\frac{x}{2} = \frac{x + 16}{3}$
$\Rightarrow 3 x = 2 x + 32$
$\Rightarrow x = 32$
$∵ B = 32$
$A = x + 16$
$= 48$