Math, asked by tarangleo4463, 7 months ago

Meets says to his brother that when I will be your age you will be 40 years old and his brother says when I will be your age you will be 4 years old how old they’re

Answers

Answered by Aggarwal17
0

Step-by-step explanation:

Let present age of Meets be X years

and Present age of His brother be Y years

Let Suppose after Z years she will be her brother's age

A.T.Q

X + Z = Y ; Eq.1

Y + Z = 40; Eq.2

Z = 40 - Y

Putting Value of Z in Eq.1

X + 40 - Y = Y

X + 40 = 2Y

X - 2Y = -40 Eq.3

And Also

Suppose before W years His brother will be meets age.

Y - W = X; Eq.4

X - W = 4; Eq.5

- W = 4 - X

W = X - 4

Putting Value of W in Eq.4

Y - ( X - 4 ) = X

Y - X + 4 = X

Y + 4 = 2X

2X - Y = 4 Eq.6

Multiplying Eq.6 by 2

4X - 2Y = 8 Eq.7

Subtracting Eq. 3 from Eq. 7

4X - 2Y - ( X - 2Y ) = 8 - (-40)

4X - 2Y - X + 2Y = 8 + 40

3X = 48

X = 16

Putting in Eq.6

32 - Y = 4

Y = 32 - 4 = 28

Therefore Present Age of Meet is 16 yrs

And his Brother is 28 yrs

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