Question

If two numbers are in the ratio 5 : 7 and if 5 is added to each og them the ratio becomes 3:4 find the numbers​

Answer 1

Given data : Two numbers are in the ratio 5:7 and 5 is added to each of them the ratio becomes 3:4.

To find : The numbers ?

Solution : Let, 5x and 7x be the two numbers.

Now, according to given,

when 5 added to each number then number become,

⟹ first number = 5x + 5

⟹ second number = 7x + 5

Now, according to given,

⟹ {5x + 5}/{7x + 5} = 3:4

⟹ 4*{5x + 5} = 3*{7x + 5}

⟹ 20x + 20 = 21x + 15

⟹ 20x - 21x = 15 - 20

⟹ - x = - 5

⟹ x = 5

Now, put value of x in first and second number,

⟹ first number = 5x + 5

⟹ first number = 5*5+ 5

⟹ first number = 25 + 5

⟹ first number = 30

⟹ second number = 7x + 5

⟹ second number = 7*5 + 5

⟹ second number = 35 + 5

⟹ second number = 40

Answer : Hence, first number is 30 and second number is 40.

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Answer 2

Answer:

ratio of two no = 5:7

first no°=5x

second no°=7x

If 5 is added to each no

now first no = 5x+5

second no = 7x+5

Now ratio=3:4

5x+5/7x+5=3/4

by direct variation

4 (5x+5) =3(7x+5)

x =5

Step-by-step explanation:

step 1 4(5x+5) =3(7x+5)

step 2 20x+20 = 21x+15

step 3 20-15 = 21x -20x

step 4 x = 5

Then the no° be 5