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olga_2 [115]
2 years ago
7

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Mathematics
2 answers:
Brums [2.3K]2 years ago
5 0

Answer:

a: 20

b : 15

Step-by-step explanation:

3*5 = 15

2*5 = 10

15-10 = 5

15+5 = 20

10+5 = 15

alukav5142 [94]2 years ago
3 0

Answer:

Let:

  • Present age of B be 'x' years.
  • Present age of A be ( x + 5 ) years.

\:

5 years ago,

  • Age of A = (x + 5) - 5 years = x years.
  • Age of B = ( x - 5 ) years.

\:

<u>According</u><u> to</u><u> the</u><u> question</u><u>,</u><u> </u>

\quad\quad\quad{ \large{ \rm{ \frac{x}{x - 5}  =  \frac{3}{2} }}}

{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}

{ \green{ \implies}}{ \sf{2x = 3x - 15}}

{ \green{ \implies}}{ \sf{3x  -  2x  =  15}}

{ \green{ \implies}}{ \sf{x  =  { \boxed{ \pink{15}}}}}

\:

Therefore,

Present age of B (x) = <u>1</u><u>5</u><u> </u><u>years</u><u>.</u>

Present age of A (x + 5) = <u>2</u><u>0</u><u> </u><u>years</u>.

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