Question

A father is 40 year older than his daughter and the sum of their ages is 50. Then the daughter's age is ____.

Answer 1

Answer:

the daughter age is 10

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Answer 2

Let daughter's age be x years and that of father's be y years.

Case 1:-

When father is 40 year older than his daughter:-

y=x+40

or x-y=-40

Case2:-

When the sum of their ages is 50:-

x+y=50

From Case1 and2, we get:

x-y=-40

x+y=50

Adding them we get,

x=5 years

Substitute the value of x in Case1, we get,

y=45 years

Hence, Daughter's age is 5 years and father's age is 45 years.

Hope it helps