Solve this A says to B I am 5 times as old as you were when I was - Maths - Pair of Linear Equations in Two Variables

Question

Solve this

A   s a y s   t o   B   I   a m   5
  t i m e s   a s   o l d   a s   y o u
  w e r e   w h e n   I   w a s   a s
  o l d   a s   y o u   a r e   n o w I f
  t h e   s u m   o f   t h e i r   p r e
s e n t   a g e   i s   64   y e a r s   F
i n d   t h e i r   a g e s

Abhinav Raj · Accepted Answer

A says to be,"I am 5 times as old as you were, when i was as old as you are."
: (a-b) = the difference between their ages
therefore
5(b - (a-b)) = a
Remove the inner bracket
5(b - a + b) = a
5(2b-a) = a
10b - 5a = a
10b = a + 5a
10b = 6a
b = 6%2F10

a
b = .6a
:

a b = 6a : if the sum of their present age is 64 Find their present ages a + b = 64 replace b with 6a a + 6a = 64 1 6a = 64 a = 64%2F1 6

a = 40 yrs is a's age then 6(40) = 24 yrs is b's age : : Check this in the statement: "I am 5 times as old as you were, when i was as old as you are " (Difference in their ages = 16 hrs) 5(24 - 16) = 40 5(8) = 40; confirms our solution

Solve this A s a y s t o B . I a m 5 t i m e s a s o l d a s y o u w e r e w h e n I w a s a s o l d a s y o u a r e n o w . I f t h e s u m o f t h e i r p r e s e n t a g e i s 64 y e a r s . F i n d t h e i r a g e s .

Solve this

$A s a y s t o B . I a m 5 t i m e s a s o l d a s y o u w e r e w h e n I w a s a s o l d a s y o u a r e n o w . I f t h e s u m o f t h e i r p r e s e n t a g e i s 64 y e a r s . F i n d t h e i r a g e s .$