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The age of two people is in the ratio 6:8. the sum of their ages is 77. after 2 years the ratio of their ages becomes 5:7. wat is their present age?
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- The ratio of two people be 6x and 8x
sum of their ages is 6x+8y=77
after 2 yrs,ratio is 5:7,so,
(6x+2)/(8x+2)=5/7
on cross multiplying this,
x=2
hence age of a person 6(2)=12
hence another person ages is 8(2)=16
answer is 12,16 - 12 years agoHelpfull: Yes(21) No(35)
- let their ages are x and y,
given x+y=77 and x:y=6:8
let x=6k and y=8k
therefore,
6k+8k=77 => 14k=77 =>k=5.5
=>x=6*5.5=33 , y=8*5.5=44
therefore there present ages are 33 and 44 - 12 years agoHelpfull: Yes(21) No(6)
- Let their ages be 'a' and 'b' respectively.
Given: a/b = 6/8 = 3/4
a = 0.75b
Given: a+b = 77
So, 0.75b + b = 77
So, 1.75b = 77
So, b = 77/1.75 = 44
So, a = 77-44 = 33
But given: (a+2)/(b+2) = 5/7
But (a+2)/(b+2) = 35/46 ≠ 5/7
Question is ambiguous! - 12 years agoHelpfull: Yes(13) No(4)
- the 2nd ratio is incorrect..
- 12 years agoHelpfull: Yes(10) No(1)
- by the way on cross multiplying we are not getting 2.we are getting -2. can u pls tell me the correct ans.
- 12 years agoHelpfull: Yes(6) No(2)
- let two people be a,b a/b=6/8====>8a-6b=0===>4a-3b=0---->eq1
after two years a+2/b+2=5/7=====>7a-5b=-4---->eq2
on solving eq 1 and 2 we get ages a=12 and b=16
verification can be done by ratios(12:16=6:8(given i question)) - 12 years agoHelpfull: Yes(3) No(8)
- PLZ EXPLAIN WHAT IS THE CORRECT ANSWER??
- 12 years agoHelpfull: Yes(2) No(0)
- The ratio of two people be 6x and 8x
sum of their ages is 6x+8y=77
after 2 yrs,ratio is 5:7,so,
(6x+2)/(8x+2)=5/7
on cross multiplying this,
x=2
hence age of a person 6(2)=12
12+8y=77
8y=65
y=9(approx)
so the ages are 12,9
- 12 years agoHelpfull: Yes(1) No(19)
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