the ratio of two numbers is 3:5.If each number increased by 10 the ratio between the numbers formed is 5:7 find the nnumber
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RATIO OF THE TWO NUMBERS. IS 3:5
LET US TAKR THE COMMON MULTIPLE AS (x)
THEN, THE NO. ARE 3x & 5x
By the given condition each number is increased by 10
THEN THE NEW NUMBER BE ( 3x -+10) and
(5x +10)
BY THE GIVEN CONDITION ,
(3x +10). : ( 5x + 10) = 5 :7
or ,. (3x + 10)/(5x +10)
or, 7 (3x +10) = 5 (5x +10)
or, 21x + 70 = 25x + 50
or, 25x - 21x = 70 - 50
or, 4x = 20
or, x = 20/4
or, x = 5
Therefore,. the sum of numbers
= (3x + 5x)
= 8x
= 40.
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