Question

In Bangalore there is a well known Science Institute. During a visit I asked two of the men to tell me their ages. One replied, 'One of our ages subtracted from the other’s equals 30.' Then the other man spoke, 'Our ages multiplied together equal 1624'. What were their ages?

Answer 1

Answer:

there age are 58 and 28 respectively

Step-by-step explanation:

let there ages be x and y

x-y=30 ======>(1)

xy=1624======>(2)

put 1 in 2

x(30+x)=1624

${x}^{2} + 30x - 1624 = 0 \\ {x}^{2} + 58x - 28x - 1624 = 0 \\ x(x + 58) - 28(x + 58) = 0 \\ \\ x = 28 \: or \: - 58 \\ but \: age\: is \: never \: negative \\ x = 28 \\ \\ 28y = 1624 \\ y = 58$

hope it helps