Question

two number are in the ratio 4:7 if twice the larger is added to twice the smaller, the sum is 59.find the numbers.

Answer 1

Answer:

The number can be 8 or 14.

Step-by-step explanation:

Let the two numbers be x and y which are in ratio 4: 7  

So

,

x/y=4/7 ____________________________________ (1)

If y is the larger number and x is the smaller number then according to the question thrice the larger number i.e. y is added to twice the smaller number to form result 59 i.e. x

Therefore, in equation it is represented as 3y+2x=59______________(2)

Eqn. 1 can be written as  

Put    7/4 x=y in Eqn. 2

29x=59×4   and  x=8.134 or x=8  

Put x = 8 in Eqn. 1

Therefore after solving we found out that x = 8 and y = 14