Question

A's mother is four times as old as A. After five years, her mother will be three times as old as she will be then. What are their present ages?

PLEASE USE LINEAR EQUATION BASED ON ONE VARIABLE​

Answer 1

Solution

Given:-

• A's mother is four times as old as A
• After five years, her mother will be three times as old as she will be then.

Find :-

• Thier present ages

Explanation

Let,

• Age of A's mother = x years
• Age of A = y years

According to question,

Case 1.

==> x = 4y

==> x - 4y = 0__________(1)

Case 2.

==> (x + 5) = 3×(y + 5)

==> x - 3y = 15 - 5

==> x - 3y = 10_________(2)

Sub. equ(1) & equ(2)

==> -4y + 3y = -10

==> -y = -10

==> y = 10

Keep in equ(1)

==> x - 4 × 10 = 0

==> x = 40

Hence

• Present age age of A's Mother = 40 years
• Present age of A = 10 years

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