Question

HELLO GUYS I RLLY NEED THE ANSWER HELP ME PLEASE IM GIVING A LOT OF POINTS THANK YOU​

Answer 1

Luke age after ten years from now is 51.332 years

Explanation:

Solution:

Suppose the present age of Luke be x' and Nathan be y'

Case-1

(x+7)+(y+7)=81.5

x+y=81.5-14

x+y=64.5.....1

Case-2

(x-5) = 2(y-5)

2y-x=5.....2

Now;

Adding 1 and 2

x+y+2y-x=64.5+5

y=69.5/3

y=23.166

putting value of y in 2

2y-x=5

x=41.332

Finally

Age of Luke after 10years from now

=41.332+10

=51.332

Answer 2

53

Explanation:

let's call Luke's age now is L and Nathan's age now is N

7 years from now

(L + 7) + (N + 7) = 81

=> L + N = 81 - 7 - 7

=> L + N = 67

5 years ago

(L - 5) = 2(N - 5)

=> L - 5 = 2N - 10

=> L = 2N - 10 + 5

=> L = 2N - 5

Substitute L = 2N - 5

L + N = 67

(2N - 5) + N = 67

2N + N = 67 + 5

3N = 72

N = 72/3 = 24

L = 2N - 5 = 2(24) - 5 = 48 - 5 = 43

In 10 years, Luke will be 43 + 10 = 53