Question

(iii) Rohan's mother is 26 years older than him. The product of their
3 years from now will be 360. We would like to find Rohan's present ag amp
ages​

Answer 1

Answer:

The answer is given below . Hope it helps you and mark me as Brainlist

Step-by-step explanation:

Let Rohan's age be x ....... Therefore Rohan's mom's age is x+26...... Now Roahn age after 3 yrs x+3 and his mothers age after three years x+29...... Now we know (x+3)(x+29) = 360 ...... ... x²+3x+29x+87 = 360 ...... x²+32x+87=360 ....... x²+32x=360-87 ...... = 273 x(x+32)=273 After solving we get x=7 So, age of Rohan = 7 yrs The solution for how to get x is Take one factor of the equation x²+32x-273 = 0 First factorise .... Factors are x-7 and x+32 ...... So take any one factor and solve it and you will get two solutions of the quadratic equation...... X-7.....x=7 And x+32.....x=-32 Now put your logic age can't be in minus so x=7 is correct solution for this question...Hence solved।

Answer 2

$\huge \rm \underline{Answer}$

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$\huge \rm \underline{Question}$

Rohan's mother is 26 years older than him. The product of their 3 years from now will be 360. We would like to find Rohan's present ages

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step by step explanation:

$\bold{let \: rohan \: age \: be \: x}$

$\bold{rohans \: mother \: be \: 26 + x}$

$\sf{after \: 3 \: years}$

$\bf{(x + 3)(x + 29)}$

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$\bf \underline{ATQ}$

360

so, we get

$\tt{⟹ \: = (x + 3)(x + 29) = 360}$

$\tt{⟹ \: = {x}^{2} +(3 + 29)x + 87 = 360}$

$\tt{⟹ \: = {x}^{2} + 32x - 273 = 0}$

$\tt{⟹ \: = {x}^{2} + 39x - 7x - 273 = 0}$

$\tt{⟹ \: x(x + 39) - 7(x + 39) = 0}$

$\tt{⟹ \: = (x + 39)(x - 7) = 0}$

$\tt{⟹ \: = x = 7 \: and \: x = - 39}$

age can't be negative so,

$\bf \red{rohan \: present \: age \: is \: 7years}$

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$\bf \blue{rohan \: mother \: age = 7 + 26 = 33}$

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I hope it's help uh