Question

volume= 160.875 cu m, length = 6.5 m, height = 5.5 m, breath = ?​

Answer 1

Answer:

Let the Rohan's present age be x and Rohan Mother's present age be (x + 26) respectively.

After three years their ages,

Rohan's age = (x + 3)

Rohan Mother's age = (x + 29)

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\underline{\bigstar\:\boldsymbol{According\;to\;the\; Question\; :}}

★AccordingtotheQuestion:

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As it is given that, after three years the product of their ages (Rohan's age and Rohan Mother's present age) will be 360 years. Therefore,

\begin{gathered}:\implies\sf (x + 3) (x + 29) = 360 \\\\\\:\implies\sf x^2 + 29x + 3x + 87 = 360 \\\\\\:\implies\sf x^2 + 32x + 87 = 360 \\\\\\:\implies\sf x^2 + 32x + 87 - 360 = 0\\\\\\:\implies\sf x^2 + 32x - 273 = 0\\\\\\:\implies\sf x^2 + 39x - 7x - 273 = 0\\\\\\:\implies\sf x(x + 39) - 7(x + 39) = 0\\\\\\:\implies\sf (x - 7) (x + 39) = 0\\\\\\:\implies\sf x - 7 = 0\;or\:x + 39 = 0 \\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 7 \;or\:x =-39}}}}}\;\bigstar\end{gathered}

:⟹(x+3)(x+29)=360

:⟹x

2

+29x+3x+87=360

:⟹x

2

+32x+87=360

:⟹x

2

+32x+87−360=0

:⟹x

2

+32x−273=0

:⟹x

2

+39x−7x−273=0

:⟹x(x+39)−7(x+39)=0

:⟹(x−7)(x+39)=0

:⟹x−7=0orx+39=0

:⟹

x=7orx=−39

★

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By Ignoring negative value of x. Because age can't be negative. Therefore, taking x = 7.

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Hence,

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Rohan's present age, x = 7 years.

Rohan Mother's present age, (x + 26) = (7 + 26) = 33 years.

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\therefore{\underline{\textsf{Hence,\; Rohan's\: present\:age\:is\; \textbf{7 years}.}}}∴

Hence,Rohan’spresentageis7 years.