Mala and Latha each had a number of bangles. Mala said to Latha “If you give me 4 of your bangles, my number will be thrice yours". Latha replied "If you give me 36, my number will be thrice yours". What is the total bangles together with them?
70
80
90
100
Explanation:
From given question,M+4=3(L-4)
M+4=3L-12
M=3L-16------>(1)
then L+36=3(M-36)
L+36=3M-108
L+36=3(3L-16)-108
L+36=9L-48-108
8L=192
L=24
put L value in equation (1)
M=3L-16
M=72-16
=56
Total Bangles=56+26=80
From given question,M+4=3(L-4)
M+4=3L-12
M=3L-16------>(1)
then L+36=3(M-36)
L+36=3M-108
L+36=3(3L-16)-108
L+36=9L-48-108
8L=192
L=24
put L value in equation (1)
M=3L-16
M=72-16
=56
Total Bangles=56+26=80