Answer:
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Answer:
(½x+½y)²=6
Step-by-step explanation:
x^2 + y^2 = 14, xy=5
(A+B)^2=A^2 +2AB+B^2... (*)
(1/2x+1/2y)^2 =(*)
(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =
1/4x^2 +1/2xy+1/4y^2=
1/4(x^2 +y^2) +1/2(xy)=
1/4*14+1/2*5=
14/4+5/2=
14/4+10/4=
24/4=6
let me know if I'm wrong.
You would need to isolate the "X" variable because it is common in all 3 equations.
take father's age as x
if it is doubled i.e 2x .we get the answer as 20 less than 100 which means 100-20=80
accordingly the equation will be 2x=80
x=40
given that ,
son is 1/4 th of his father
hence ,
son = 1/4×(x)
I.e, 1/4×40 =10
Hope it helps