Question

The difference between two numbers is seven. Six times the smaller plus the larger is seventy seven. Find the numbers.

Answer 1

• Let one number be M and other number be N.

The difference between two numbers is 7.

=> M - N = 7

=> M = 7 + N _____ (eq 1)

Sum of six times the smaller number and karger number is seventy seven.

• Let smaller number be N and larger number be M.

=> 6N + M = 77

=> 6N + 7 + N = 77 [From (eq 1)]

=> 7N = 77 - 7

=> 7N = 70

=> N = 10

(Smaller number)

Put value of N in (eq 1)

=> M = 7 + 10

=> M = 17

(Larger number)

∴ Numbers are 17 and 10.

_______________________________

☆ Verification :

From above calculations we have M = 17 and N = 7

Put value of M and N in (eq 1)

=> 17 = 7 + 10

=> 17 = 17