Question

The sum of present ages of A and B ÍS 11 times the difference of their ages.
5 years hence their total ages will be 13 times the difference of their ages. What
is the present age of elder one?
a) 35 (b) 20 (c) 25 (d) 30 (e) None​

Answer 1

Answer:

As per given condition

a+b=11(a-b)

a+b=11a-11b

12b=10a      ....1

5 yrs hence a's age will be a+5

and b's age will be b+5

Again

a+5+b+5=13(a-b)

a+b+10=13a-13b

12a-14b=10 .....2

On solving eq 1&2

a=30

b=25

Thus the elder one's age is 30 Option:d

Answer 2

Answer:

The present age of elder one is 30.

Step-by-step explanation:

A + B = 11 ( A- B )

or , A + B = 11A - 11B.

or , 10A = 12B.

or , 5A - 6B = 0 .

After 5 years ,

A + 5 + B + 5 = 13 ( A - B)

or ,  A + B + 10 = 13A - 13B .

or , 12A - 14B = 10

or , 6A - 7B = 5.

35A - 42B = 0....... (I)

36A - 42B = 30..... (II)

I-II

-A = -30.

or , A = 30.

The present age of elder one is 30.

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