Question

Rohan's Mother is 26years older than him . the product of their ages (in years ) 3years from now will be 360 . we would like to find rohan's present age .

Answer 1

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

Answer:

Here is ur answer!!

Step-by-step explanation:

Let Rohan present age be x years. Then, his mother's age is (x+26) years.

Rohan's age after 3 years =(x+3) years

After 3 years the age of Rohan's mother=(x+26+3)years=(x+29) years

It is given that after 3 years from now, the product of Rohan's and his mother's ages will be 360 years

∴(x+3)(x+29)=360⇒x

2+32x−273=0....answer

This is the required equation.

∴(x+39)(x−7)=0

∴x=−39 and x=7

∴x=7.......(∵ x can not be negative)

∴ Mother's present age=7+26=33....answer