1.

Two numbers are in the ratio 2:3. if 5 is added to each number, the new ratio becomes 5:7. find the numbers

Answer»

ANSWER:

LET numbers be = x, y

Equation (i):

x/y = 2/3

=> x = 2y/3

Equation (ii):

x+5/y+5 = 5/7

=> 7x + 35 = 5Y + 25

=> 7(2y/3) + 35 = 5y + 25

=> 14y + 105 = 15y + 75

=> y = 105 - 75

=> y = 30

x = 2y/3 = 2 × 30/3 = 2 × 10

x = 20

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