Question

The ratio of ages of the mother and her daughter at present is 13 : 4. Six years hence, the ratio will be 5 : 2. Find their present ages.​

Answer 1

Answer:

• Preset Age of Mother is 42.25
• and Daughter is 13

Step-by-step explanation:

• Let Mother age be X and Daughter be Y
• Current age Ratio X/Y = 13/4
• Six year later, (X+6)/(Y+6) = 5/2

So our equations are

• 4X - 13Y = 0
• 2(X+6) - 5(Y+6) = 0

Let's solve it

4X - 13Y = 0

2X - 5Y  = 18

4X - 13Y = 0

-4X + 10Y = -36

-------------------------

-3Y = -36

Y = 13

Then X = 13*13/4 = 42.25