SOLUTION: the ratio of two number is 5:9 if their difference is 64. Find the bigger number.

Question 944479: the ratio of two number is 5:9 if their difference is 64. Find the bigger number.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Let L=larger number and S=smaller number
5L=9S
L-S=64: L=S+64 Solve for L and substitute
5(S+64)=9S
5S+320=9S Subtract 5S from each side
320=4S Divide each side by 4
80=S The smaller number is 80
L-S=64
L-80=64 Add 80 to each side
L=144 ANSWER The larger number is 144
CHECK:
5L=9S
5(144)=9(80)
720=720

RELATED QUESTIONS
two numbers are in the ratio of 3:5. if their difference is 38 what is the bigger number? (answered by ewatrrr)

two numbers are in the ratio 2:5. if their difference is 48,what is the bigger... (answered by htmentor,Theo,MathTherapy)

Two numbers are in the ratio 3:5 and their sum is 112. Find the bigger number (answered by ikleyn)

two numbers are in ratio 4:5. if difference of their cubes is 61, find the... (answered by robertb,Edwin McCravy,ikleyn,MathTherapy)

The sum of two numbers is 248. Their difference is 64. find the... (answered by Theo)

The sum of two numbers is 64. Their difference is 16. Find the larger number (answered by rfer)

The difference between two numbers is 50.if the bigger number is 120 find the smaller... (answered by lynnlo)

the ratio of two numbers is 10:7.if the bigger number is 30 what is the smaller number? (answered by richwmiller)

please help me solve this D: The difference of two integers is 18, if their product is... (answered by mananth)