Question

veena's age is three times her daughters age , ten years ago she was 5 times her daughters age . find thier present age

Answer 1

$Let \: Present \: age \: of \: Veena's\: daughter\\ = x \: years$

$Present \: age \: of \: Veena = 3x \: years$

$\underline{ \pink{ 10 \: years \: ago: }}$

$Daughters \: age\: was = ( x - 10 ) \: years$

$Veena's \: age = ( 3x - 10 ) \: years$

/* According to the problem given */

$Veena's \: age = 5 \times Daughters \: age$

$\implies 3x - 10 = 5 ( x - 10 )$

$\implies 3x - 10 = 5 x - 50$

$\implies 3x - 5x = -50 + 10$

$\implies - 2x = -40$

$\implies x =\frac{ -40}{-2}$

$\implies x = 20$

Therefore.,

$\red{Present \: age \: of \: Veena's\: daughter(x)}\\ = 20\: years$

$\red{ Present \: age \: of \: Veena( 3x)}\\= 3 \times 20 \\\green {= 60 \: years}$

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