### Questions 30

### 3 comments

###### Caleb Adeleye

1 year ago

Though @imaculate got it first @Akintola showed more explanation, So Akintola gets it . Congrats

###### Akinola Ajayi

1 year ago

x+y=2|x-y|>>>i

xy=675...ii

From eqn i square both side to eliminate the absolute

(x+y)²=4(x-y)²

x²+2xy+y²=4x²-8xy+4y²

Equate all to 0

3x²-10xy+3y²=0>>>iii

Sub eqn ii into iii

3x²-10(675)+3y²=0

3(x²+y²)=6750

Divide both side by 3

x²+y²=2250

(x+y)²-2xy=2250

(x+y)²=2250-2(675)

(x+y)²=3600

Square root both side

x+y=60

x=60-y>>>>iv

sub eqn iv into ii

y(60-y)=675

60y-y²=675

y²-60y+675=0

Using factorisation method

y=15or 45

Sub y=15 or 45 into eqn iv

X=60-15 or 60-45

x=45 or 15.

Olusola's age 5years time will be x+5= 15+5 or 45 +5 =20yrs or 50yrsold

Dara's in 10years time will be y+10 = 15+10 or 45+10= 25yrs old or 55yrs old

###### Immaculate Nzekwe

1 year ago

Olusola's current age = 45

Dara's current age = 15

Olusola's age in 5yrs =45+5= 50yrs

Dara's age in 10 yrs= 15+10 = 25 yrs