one number is six more than another number. The sum of the larger number and twice the smaller number is 12. Find the numbers.
unknown values: x, y
equation: x = y + 6
equation: x + 2*y = 12
answer: 8; 2
One number is 8 more than another number. If the sum of the smaller number and twice the larger number is 46, find the two numbers.
unknown values: x, y
equation: x = y + 8
equation: y + 2*x = 46
answer: 18; 10
one number is 8 more than another. if the sum of the smaller number and twice the larger number is 46, find the two numbers.
unknown values: x,y
equation: x = 8 + y
equation: y + 2*x = 46
answer: 18; 10
Find two consecutive odd integers whose sum is 0
unknown values: 2*k+1,2*k+3
equation: 2*k+1+2*k+3=0
answer: -1;1
The sum of two consecutive odd integers is 144. Find the integers.
unknown values: 2*k+1,2*k+3
equation: (2*k+1)+(2*k+3)=144
answer: 71; 73
twice the larger of two numbers is three more than five times the smaller and the sum of four times the larger and three times the smaller is 71. What are the numbers?
unknown values: x,y
equation: 2*x = 5*y+3
equation: 4*x+3*y = 71
answer: {14;5}
find two numbers such that five times the larger plus three times the smaller is 47 and four times the larger minus twice the smaller is 20.
unknown values: x,y
equation: 5*y+3*x=47
equation: 4*y-2*x=20
answer: {4; 7}
Twice the sum of two numbers is 1236. Twice the difference of those same two numbers is 680. What are those two numbers?
unknown values: x,y
equation: 2(x+y) = 1236
equation: 2(x-y) = 680
answer: {479; 139}
the ratio of the number of coins mark has to the number of coins john has is 2:5. if john has 20 coins, how many coins does mark have?
unknown values: x
equation: x/20=2/5
answer: 8
if 240:3=x:5 what's the value of x?
unknown values: x
equation: 240/3 = x/5
answer: 400