Question #d73cd

2 Answers
Sep 28, 2017

#x + (x + 3) + (x/2 - 3) = 105#

Explanation:

break down each part of the question into smaller, manageable parts. Mrs Tandy (T) will be #x#. her husband (H) who is 3 years older, will be #x + 3#. The son (S) will be #x/2 - 3#. all of those will add up to 105.

in case you're wondering, T is 42, H is 45 and S is 18.

Sep 28, 2017

Mrs Tandy's age is #42 # years
Her husband's age is # 45# years and
Her son's age is # 18# years.

Explanation:

Let Mrs Tandy's age be #x#
Given that :
Her husband's age is #x+3# and
Her son is #x/2 -3#
The sum of their ages is = 105

#x + (x+3) + (x/2-3)=105#

#x + x +3 + x/2 -3 = 105#

#x + x cancel(+3) + x/2 cancel(-3) = 105#

# 2x +x/2 = 105#

# 2x(2/2) +x/2 = 105#

#(4x +x )/2 =105#

#5x = 105 \times 2#

#x = (105 \times 2)/5#

#x =42#
So ,
Mrs Mrs Tandy's age will be #x =42 # years

Her husband's age is #x+3 = 45#years and

Her son will be #x/2 -3 = 18 #years.