Can someone help me with this question I'm kinda stuck on it
The difference between 2 numbers is 14. Half of the larger is 27 less than the smaller number. Find the numbers.
Answers
Answer:
82;68
Step-by-step explanation:
x-y=14-----(1)
x-y=14-----(1)y-x/2=27
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)x-y=14
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)x-y=14-x+2y=54
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)x-y=14-x+2y=54--------------
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)x-y=14-x+2y=54--------------y=68-----(3)
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)x-y=14-x+2y=54--------------y=68-----(3)put the value of y in the (1) equation
x-y=14-----(1)y-x/2=27>2y-x=54-----(2)from (1) & (2)x-y=14-x+2y=54--------------y=68-----(3)put the value of y in the (1) equationwe get x=14+68=82-----(4)
Answer:
let x is a larger no.
x - y = 14 — equation 1
½x = y + 27 — equation 2
½x - y = 27 — equation 3
multiply equation 1 by ½ and substitute both equation 1 and equation 3.
½x - ½y = 7
½x - y = 27
– + –
—————————
0 + ½y = -20
y = -20 × 2
y = -40
from equation 1 find the value of x
x - y = 14
x - ( -40 ) = 14
x + 40 = 14
x = 14–40
x = –26