2. If x:y= 3:2 find
(2x+3y) : ( 3x+ 5y)
3-. Two numbers are in the ratio 5:6 . If 8 is subtracted from each , the ratio becomes 4:5. Find the numbers.
4-. Two numbers are in the ratio 3:4 . If their LCM is 180, find the numbers.
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Answer:
Step-by-step explanation:
2. : LET X=3k the y = 2k
so 2x +3y = 12k
3x +5y = 19k
Req ratio: 12/19
3. x = 5k y = 6k
(5k - 8)/(6k-8) =4/5
cross multiply to get 25k -40 = 24k - 32 => k = 8
so numbers are (40,48)
3. assmue the 3k and 4k
there CLEARLY there hcf would be k(assumin k>3 and 4)
Its know that HCF x LCM = PRODUCT of given numbers
so 180k = 12k^2
k = 15
hence the numers are 45 and 60
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