## Word Problem Solution1

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In this page word problem solution1 we are going to
see solution for first word problem of the worksheet cross multiplication
method.

Formulate the following problems as a pair of equations,and hence find their solutions:

(i) One number is greater than thrice
the other number by 2. If 4times the smaller number exceeds the greater by 5,
find the numbers.

**Solution:**

Let “x” be one number and “y “ be
another number

Here one number is defined by
other number

x = 3 y + 2 ----- (1)

Here we have two variables x and
y. In these two terms x is greater number and y is smaller number

4y = x + 5 ----- (2)

Substitute (11) in the second
equation we get

4 y = 3y + 2 + 5

4 y - 3 y = 7

y = 7

Now we need to apply the value of y in first or second equation to get the value of y.

Substitute y = 7 in the first equation

x = 3(7) + 2

x = 21 + 2

x = 23

Therefore one number is 23 and
other number is 7.

**Verification:**

x = 23 y = 7

23 = 3 (7) + 2

23 = 21 + 2

23 = 23

word problem solution1 word problem solution1

**Try other questions**

(ii) The ratio of income of two
persons is 9:7 and the ratio of their expenditure is 4:3.If each of them
manages to save $2000 per month, find their monthly income. Solution

(iii) A two digit number is seven times the sum of its digits. The
number formed by reversing the digits is 18 less than the given number.
Find the given number. Solution

(iv)
Three chairs and two tables cost $700 and five chairs and three tables
cost $1100.What is the total cost of 2 chairs and 3 tables. Solution

(v)
In a rectangle,if the length is increased and breadth is reduced each
by 2 cm then the area is reduced by 28 cm
². If the length is reduced by 1 cm and the breadth is increased by 2
cm,then the area increases by 33cm². Find the area of the rectangle. Solution

(vi)
A train traveled a certain distance at a uniform speed. If the train
had been 6 km/hr faster,it would have taken 4 hours less than the
scheduled time. If the train were slower by 6km/hr, then it would have
taken 6 hours more than the scheduled time. Find the distance covered by
the train. Solution