The difference between two numbers is 15. Taking the smaller numb… - Vidyadip

Question

The difference between two numbers is 15. Taking the smaller number as x; find:

(i) the expression for the larger number.

(ii) the larger number, if the sum of these numbers is 71.

✓

Answer

Difference of two numbers = 15
Let smaller number = x
∴ Second number = x + 15
∴ Larger number = x + 15
If sum of two numbers = 71
Then x + x + 15 = 71
(i) 2x + 15 = 71
⇒ 2x = 71 - 15 = 56
$x=\frac{56}{2}=28$
(ii) Larger number = x + 15 = 28 + 15 = 43

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[4 marks sum]" from Simple (Linear) Equations (Including Word Problems)→Simple (Linear) Equations (Including Word Problems) — all question types→MATHS STD 6 question papers→ICSE Board STD 6 question papers→ICSE Board question paper generator→

Similar questions

Simplify:
$\left(1 \div 2 \frac{1}{5}\right) \div 2 \frac{1}{5} \text { of } 2 \frac{1}{2}-2$

Study the content given below and answer the questions that follow :
The total cost of cultivating a rectangular field at ₹20 per $m ^2$ is ₹2440 and the breadth of the field is 26 m.
Q.1. What is the area of the field?
(a) $1200 m^2$ (b) $1220 m^2$ (c) $1222 m^2$ (d) $1224 m^2$
Q.2. What is the length of the field?
(a) 52 m (b) 47 m (c) 45 m (d) 54 m
Q.3. What is the perimeter of the field?
(a) 172 m (b) 188 m (c) 146 m (d) 134 m
Q.4. What is the cost of fencing the field at ₹25 per m?
(a) ₹3650 (b) ₹1825 (c) ₹5475 (d) none of these

A profit of Rs 2,500 is to be shared among three persons in the ratio 6 : 9 : 10. How much does each person get?

Construct the 15° angle, using ruler and a pair of compass only.

The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.

A rectangle with length = 18 cm and breadth = 12 cm has same perimeter as that of a regular pentagon. Find the side of the pentagon.

Approximately $97.3\%$ of the water on the earth is not fit for drinking. Find:
(i) the percentage of water on the earth that is fit for drinking.
(ii) The total volume of water available in certain parts of the earth where there are $21,600\ m^3$ of drinking water.

A train travels $700$ metres in $35$ seconds. What is its speed in km/h?

The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the available paper?

Solve : $y-3 \frac{1}{2}=2 \frac{1}{3}$