Question

Two numbers are in the ratio 5:6. If 8 is subtracted from each, the ratio becomes 4:5.Find the numbers

Answer 1

Hope it can help you

Answer 2

Answer:

• ★ First Number are 40

• ★ Second Number are 48

Step-by-step explanation:

★ Given :

• Two numbers are in the ratio 5:6

• If 8 is subtracted from each, the ratio becomes 4:5

★ To find :

• Find its Number

★ Solution :

Let the Required number be 5 x and 6 x Then,

: $\implies$ 5 x -8 / 6 x - 8 = 4 / 5

:$\implies$ 5 ( 5 x - 8 ) = 4 ( 6 x - 8 )

:$\implies$ 25 x - 40 = 24 x - 32

: $\implies$ 25 x - 24 x = 40 - 32

: $\implies$ x = 8

HENCE, THE REQUIRED NUMBER ARE ( 5 × 8 ) = 40

AND ( 6 × 8 ) = 48 .

★ Know more :

• The Substitution Method: In this method, we modify the equation to find the value of any one of the variables. After this is done, we substitute its value in the other equation that has been given. Mathematicians have noted that it is better to use the substitution method when equations are given in the form of x = ay + b and y = MX + n.

• The substitution method is better because we believe that makes solving the equations much easier. Also, depending on the equation, this method involves less work and calculation. This method is the most useful system of two equations to solve two unknowns. However, some students find it easier to use the other algebraic methods given to solve a system of equations.