Problema Solution

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?

Answer provided by our tutors

LET  X AND Y BE NUMBERS 

SO  2X = 5Y+3    OR  2X- 5Y = 3 

 

   4X+3Y = 71 

 

MULTIPLYING  EQN 1  BY  3  ,  EQN  2  BY 5  WE  GET

6X-15Y = 9

20X + 15Y = 355

 

OR  26X = 364   

SO X =  14

SO  Y = 28 -5 / 5    =  5

SO  14 , 5