Respuesta :
Answer:
The sum of their ages now is 13
Step-by-step explanation:
Dally's age = x
Dilly's age = x - 7
In 4 years time Dilly will be half Dally’s age, therefore:
Dilly's age plus four equals to half of Dally’s age plus four,
replacing with the values and variables we know:
x - 7 + 4 = (x + 4) /2
x - 3 = (x + 4) /2
2x - 6 = x + 4 (Multiplying by 2 at both sides)
2x - x = 4 + 6 (Like terms)
x = 10 ⇒ x - 7 = 3
The sum of their ages now is 13 (10 + 3)
The sum of their ages now is 13 years
Let the age of Dilly be "x"
Let the age of Dally be "y"
If Dilly is 7 years younger than Dally, then;
x = y - 7 ....... 1
In 4 years time, their age will be:
Dilly = x+ 4
Dally = y + 4
If in 4 years' time she will be half Dally’s age, then;
x+4 = 1/2(y+4) ............... 2
Substitute equation 1 intp 2 to have:
y-7+4 = 1/2(y+4)
y - 3 = 1/2(y+4)
2y - 6 = y + 4
2y - y = 6 + 4
y = 10
Recall that x = y - 7
x = 10 - 7
x = 3
Sum of their ages will be x + y = 10 + 3 = 13 years
Hence the sum of their ages now is 13 years
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