The ratio of two numbers is 4:9. When 5 is subtracted from each of them the new ratio becomes 3:8. Find the numbers.
1 answer:
Answer:
FIRST NUMBER IS 20
AND
SECOND NUMBER IS 45
Step-by-step explanation:
LET THE RATIO BE X
FIRST NUMBER = 4X
SECOND NUMBER = 9X
A/Q,
=}4X - 5 / 9X - 5 = 3 / 8
CRISS CROSS,
=}8 ( 4X - 5 ) = 9X - 5 ( 3 )
=}32X - 40 = 27X - 15
=}32X - 27X = - 15 + 40
=}5X = 25
=}X = 25 / 5
=}X = 5
THEREFORE,
FIRST NUMBER
=} 4X
=} 5 × 4
=} 20
SECOND NUMBER
=} 9X
=} 5 × 9
=} 45
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