Q.3 Factorise the following binomial expressions.
i) 365 y“ z - 146 yºz _✨⭐
I AM FINE DEAR _☺
_ HAVE NICE DAY _ TAKE CARE _
Answers
Answer:
CORRECT QUESTION :
Present ages of Anu and Raj are in the ratio 4:5 . Eight years from now the ratio of the ages will be 5:6. Find their present ages .
Given :
Present ages of Anu and Raj are in the ratio 4:5 .
Eight years from now the ratio of the ages will be 5:6.
To Find :
Present Age of Anu and Raj .
Solution :
\longmapsto\tt{Let\:Present\:age\:of\:Anu\:be=4x}⟼LetPresentageofAnube=4x
\longmapsto\tt{Let\:Present\:age\:of\:Raj\:be=5x}⟼LetPresentageofRajbe=5x
After 8 years :
\longmapsto\tt{Age\:of\:Anu=4x+8}⟼AgeofAnu=4x+8
\longmapsto\tt{Age\:of\:Raj=5x+8}⟼AgeofRaj=5x+8
A.T.Q :
\longmapsto\tt{\dfrac{4x+8}{5x+8}=\dfrac{5}{6}}⟼
5x+8
4x+8
=
6
5
\longmapsto\tt{6(4x+8)=5(5x+8)}⟼6(4x+8)=5(5x+8)
\longmapsto\tt{24x+48=25x+40}⟼24x+48=25x+40
\longmapsto\tt{24x-25x=40-48}⟼24x−25x=40−48
\longmapsto\tt{-1x=-8}⟼−1x=−8
\longmapsto\tt\bf{x=8}⟼x=8
Value of x is 8 .
Therefore :
\longmapsto\tt{Present\:age\:of\:Anu=4(8)}⟼PresentageofAnu=4(8)
\longmapsto\tt\bf{32\:yrs}⟼32yrs
\longmapsto\tt{Present\:age\:of\:Raj=5(8)}⟼PresentageofRaj=5(8)
\longmapsto\tt\bf{40\:yrs}⟼40yrs