Mr. Jain is 3 year older than Mrs. Jain .One fifth of Mr Jain's age is 3 year's more than 1/8 of Mrs. Jain's age how old ARE Mr. and Mrs. Jain ???????????
To solve this problem, let's break it down into steps:
Step 1: Assign variables to the unknowns.
Let's say Mr. Jain's age is M, and Mrs. Jain's age is J.
Step 2: Write relevant equations based on the given information.
From the problem statement, we have two pieces of information:
1. Mr. Jain is 3 years older than Mrs. Jain, which can be expressed as M = J + 3.
2. One-fifth of Mr. Jain's age is 3 years more than 1/8 of Mrs. Jain's age, which can be expressed as (1/5)M = (1/8)J + 3.
Step 3: Solve the equations.
We can use substitution to solve the equations. Substitute the value of M from the first equation into the second equation:
(1/5)(J + 3) = (1/8)J + 3
Step 4: Simplify and solve.
Multiplying both sides by 40 to get rid of fractions:
8(J + 3) = 5J + 120
8J + 24 = 5J + 120
3J = 96
J = 32
Step 5: Substitute the value of J back into the first equation to find M.
M = J + 3
M = 32 + 3
M = 35
So, Mr. Jain is 35 years old and Mrs. Jain is 32 years old.
he = she + 3
he/5 = 3 + she/8
he = 35
she = 32