Question

the product of suma's age before 5 years and after 9 years is 15 find
her present age​

Answer 1

GIVEN :–

• The product of suma's age before 5 years and after 9 years is 15.

TO FIND :–

• Suma's present age = ?

SOLUTION :–

• Let the present age of suma is 'x'.

• Suma's age before 5 year = x - 5

• Suma's age after 9 year = x + 9

• According to the question –

$\\ \bf \implies(x - 5)(x + 9) = 15$

$\\ \bf \implies {x}^{2} + 9x - 5x - (9)(5)= 15$

$\\ \bf \implies {x}^{2} +4x -45= 15$

$\\ \bf \implies {x}^{2} +4x -45 - 15 = 0$

$\\ \bf \implies {x}^{2} +4x -60= 0$

$\\ \bf \implies {x}^{2} +10x - 6x-60= 0$

$\\ \bf \implies x(x + 10) - 6(x + 10)= 0$

$\\ \bf \implies (x - 6)(x + 10)= 0$

$\\ \bf \implies x=6, - 10$

$\\ \bf \bigg[\because Age \: \: can't \: \: be \: \: negative. \bigg]$

$\\ \large \implies{ \boxed{ \bf x=6}}$

• Hence , Suma's present age is 6 year.

Answer 2

Step-by-step explanation:

Given: The product of Suma's age before 5 years and after 9 years is 15.

Need to find: Present age ?

❏ In this question we have to find the present age of Suma. So let the present age of Suma be x. So by equating all the given data we easily find the present age of Suma.

‎

__________________

‎

$\star\;\boxed{\sf{\pink{Product\ of\ Suma's\ age\ =\ 15.}}}$

‎

$\bf {Here} \begin{cases} &\sf{Suma's\ age\ before\ 5\ years\ =\ x\ -\ 5.} \\ &\sf{Suma's\ age\ after\ 9\ years\ =\ x\ +\ 9.} \end{cases}$

‎

$\boldsymbol{\underline{\underline{\bigstar According\ to\ the\ question\ :-}}}$

‎

$\sf : \implies {(x\ -\ 5)(x\ +\ 9)\ =\ 15} \\ \\ \\ \sf : \implies {x^2\ +\ 9x\ -\ 5x\ -\ (9)(5)\ =\ 15} \\ \\ \\ \sf : \implies {x^2\ +\ 4x\ -\ 45\ =\ 15} \\ \\ \\ \sf : \implies {x^2\ +\ 4x\ -\ 45\ -\ 15\ =\ 0} \\ \\ \\ \sf : \implies {x^2\ +\ 4x\ -\ 60\ =\ 0} \\ \\ \\ \sf : \implies {x^2\ +\ 10x\ -\ 6x\ -\ 60\ =\ 0} \\ \\ \\ \sf : \implies {x(x\ +\ 10)\ -\ 6(x\ +\ 10)\ =\ 0} \\ \\ \\ \sf : \implies {(x\ -\ 6)(x\ +\ 10)\ =\ 0} \\ \\ \\ \sf : \implies {x\ =\ 6,\ -10} \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \bigg [Age\ can't\ be\ negative \bigg] \\ \\ \\ \sf : \implies {\underline{\boxed{\purple{\bf x\ =\ 6.}}}}\bigstar$

‎

$\sf \therefore {\underline{Hence,\ the\ present\ age\ of\ Suma\ is\ \bf 6\ years.}}$