SOLUTION: two numbers are in the ratio 4:3. Their sum is 70. Find the numbers.

Algebra.Com
Question 1132851: two numbers are in the ratio 4:3. Their sum is 70. Find the numbers.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Their sum is 7
70/7 is 10
it is 10 times each of these
the numbers are 40 and 30, 40:30=4:3
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
The fact that the two numbers are in the ratio 4:3 means that the numbers are  4x and 3x, where x is their common measure, 
currently unknown to us.


But we are given that the sum of the numbers is 70, and it gives us an equation


    4x + 3x = 70.


It means that 7x = 70,  which implies  x= 70/7 = 10.


Thus the numbers are 4x = 4*10 = 40  and  3x = 3*10 = 30.     ANSWER

Answered, solved, explained and completed.


RELATED QUESTIONS

Two numbers are in the ratio 3:4.Find the numbers if their sum is 91 (answered by vheroli)
two numbers are in the ratio 4:5. If their sum is 54, find the... (answered by TimothyLamb)
two numbers are in the ratio 3 : 4 .if their LCM Is 180 , find the... (answered by Big Poop,robertb,Gogonati)
Two numbers are in the ratio 3:7. Two fifths of their sum is 32. Find the numbers. (answered by ankor@dixie-net.com)
Two positive numbers are in the ratio 3:4. Find the numbers if (a) their sum is 84 and... (answered by josgarithmetic)
Two positive numbers are in the ratio 3: 4. Find the numbers if (a) their sum is 84 and... (answered by ankor@dixie-net.com)
two numbers are in the ratio 8:11 and their sum is 57. find the... (answered by Alan3354)
Two numbers are in the ratio of 3:7. Find the numbers if their sum is... (answered by richwmiller,jim_thompson5910)
Two numbers are in the ratio 2:3. If the sum of their squares is 2925, find these numbers (answered by Boreal)