SOLUTION: 1. The sum of two numbers is 25. Twice the smaller number is 8 more than the larger. What are the numbers so i tried x + 25-x = 25 2(x) + 25 - x - 8 = 25 x + 17 = 25 x = 8?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 1. The sum of two numbers is 25. Twice the smaller number is 8 more than the larger. What are the numbers so i tried x + 25-x = 25 2(x) + 25 - x - 8 = 25 x + 17 = 25 x = 8?       Log On

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Question 921978: 1. The sum of two numbers is 25. Twice the smaller number is 8 more than the larger. What are the numbers
so i tried x + 25-x = 25
2(x) + 25 - x - 8 = 25
x + 17 = 25
x = 8?
im confused with the twice the smaller is more than 8

here's another one
2. The sum of two numbers is 30. Half the larger is nine more than the smaller. What are the numbers?

Found 2 solutions by srinivas.g, josgarithmetic:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let x,y be the two numbers.
sum of these numbers is 25
hence x+y= 25.....................eq (1)
let be x be the smaller number and y be the larger number.
twice the smaller number is 8 more than larger
twice the smaller number is 2x
larger number is y.
so 2x is 8 more than y
2x = y+8 ...........................eq(2)
subtract 8 on both sides
2x-8 = y+8-8
2x-8 =y
substitute y = 2x-8 in eq 1
x+ (2x-8) = 25
x+2x-8 =25
3x-8 =25
add 8 on both sides
3x-8+8=25+8
3x = 33
divide with 3 on both sides
3x/3 =33/3
x =11
hence y = 2(11)-8 = 22-8 = 14
y =14
x =11
smaller number = 11
larger number =14.
cheers



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x%3Cy, the two numbers;

system%28x%2By=25%2C2x=8%2By%29