The ratio of the ages of two persons is 4: 7 and age of one of them is greater than that of the other by 30 yr. The sum of their ages is [SSC (CGL) 2014] |
A) 110 yr
B) 100 yr
C) 70 yr
D) 40 yr
Correct Answer: A
Solution :
Let the ages of two persons be\[4x\] and \[7x\] respectively. |
According to the question, |
\[7x-4x=30\] |
\[\Rightarrow \] \[3x=30\]\[\Rightarrow \]\[x=40\] |
Age of first person \[=4\times 10=40\,\,yr\] |
Age of second person \[=7\times 10=70\,\,yr\] |
Sum of their ages \[=40+70=110\,\,yr\] |
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